Least Common Multiple of 42, 70, 459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 42, 70, 459 i.e. 32130 smallest integer divisible by all numbers.

Least common multiple (LCM) of 42, 70, 459 is 32130.

LCM(42, 70, 459) = 32130

LCM of 42, 70, 459

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 42,70,459

Least Common Multiple (LCM) of 42,70,459 is 32130

2 42, 70, 459
3 21, 35, 459
7 7, 35, 153
1, 5, 153

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 5 x 153 = 32130

Least Common Multiple of 42,70,459 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 42,70,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,70,459) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(42,70,459) x common factors =1 x 42 = 42

LCM(42,70,459) = ( 42 × 70 × 459 ) / 42

LCM(42,70,459) = 1349460 / 42

LCM(42,70,459) = 32130

∴ Least Common Multiple of 42,70,459 is 32130

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 42, 70, 459

1. What is the LCM of 42, 70, 459?

Answer: LCM of 42, 70, 459 is 32130.

2. What are the Factors of 32130?

Answer: Factors of 32130 are . There are integers that are factors of 32130

3. How to Find the LCM of 42, 70, 459 ?

Least Common Multiple of 42, 70, 459.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(42, 70, 459) = 2 x 3 x 3 x 3 x 5 x 7 x 17 = 32130.