LCM that 21 and also 35 is the the smallest number amongst all usual multiples of 21 and 35. The first few multiples of 21 and 35 are (21, 42, 63, 84, 105, 126, 147, . . . ) and (35, 70, 105, 140, 175, . . . ) respectively. There are 3 commonly used methods to discover LCM of 21 and 35 - through listing multiples, by division method, and by element factorization.

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 1 LCM the 21 and also 35 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM that 21 and 35 is 105. Explanation:

The LCM of two non-zero integers, x(21) and also y(35), is the smallest confident integer m(105) the is divisible through both x(21) and also y(35) without any kind of remainder.

The methods to find the LCM of 21 and 35 are defined below.

By Listing MultiplesBy prime Factorization MethodBy department Method

### LCM the 21 and 35 by Listing Multiples

To calculation the LCM that 21 and 35 through listing out the typical multiples, we can follow the given below steps:

Step 1: perform a few multiples that 21 (21, 42, 63, 84, 105, 126, 147, . . . ) and also 35 (35, 70, 105, 140, 175, . . . . )Step 2: The typical multiples indigenous the multiples of 21 and also 35 room 105, 210, . . .Step 3: The smallest common multiple the 21 and also 35 is 105.

∴ The least typical multiple the 21 and also 35 = 105.

### LCM of 21 and also 35 by prime Factorization

Prime administrate of 21 and 35 is (3 × 7) = 31 × 71 and (5 × 7) = 51 × 71 respectively. LCM the 21 and also 35 deserve to be obtained by multiplying prime determinants raised to your respective highest power, i.e. 31 × 51 × 71 = 105.Hence, the LCM the 21 and 35 by element factorization is 105.

### LCM that 21 and 35 by department Method To calculation the LCM that 21 and also 35 by the division method, we will divide the numbers(21, 35) by their prime determinants (preferably common). The product of these divisors offers the LCM the 21 and also 35.

Step 3: proceed the actions until just 1s are left in the last row.

The LCM of 21 and also 35 is the product of every prime numbers on the left, i.e. LCM(21, 35) by division method = 3 × 5 × 7 = 105. ## FAQs top top LCM of 21 and 35

### If the LCM that 35 and 21 is 105, uncover its GCF.

LCM(35, 21) × GCF(35, 21) = 35 × 21Since the LCM the 35 and 21 = 105⇒ 105 × GCF(35, 21) = 735Therefore, the greatest usual factor (GCF) = 735/105 = 7.

### How to discover the LCM of 21 and 35 by element Factorization?

To discover the LCM that 21 and also 35 using prime factorization, us will find the prime factors, (21 = 3 × 7) and (35 = 5 × 7). LCM the 21 and 35 is the product of prime factors raised to your respective greatest exponent among the numbers 21 and 35.⇒ LCM the 21, 35 = 31 × 51 × 71 = 105.

### Which of the following is the LCM of 21 and also 35? 36, 105, 27, 28

The value of LCM the 21, 35 is the smallest typical multiple of 21 and 35. The number to solve the given problem is 105.

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### What is the Relation between GCF and LCM that 21, 35?

The following equation deserve to be provided to refer the relation in between GCF and LCM the 21 and 35, i.e. GCF × LCM = 21 × 35.