Least Common Multiple of 67, 612, 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 67, 612, 459 i.e. 123012 smallest integer divisible by all numbers.

Least common multiple (LCM) of 67, 612, 459 is 123012.

LCM(67, 612, 459) = 123012

LCM of 67, 612, 459

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

LCM of:

Least Common Multiple of 67,612,459

Least Common Multiple (LCM) of 67,612,459 is 123012

3 67, 612, 459
3 67, 204, 153
17 67, 68, 51
67, 4, 3

∴ So the LCM of the given numbers is 3 x 3 x 17 x 67 x 4 x 3 = 123012

Least Common Multiple of 67,612,459 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 67,612,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,612,459) = 1

common factors(in case of two or more numbers have common factors) = 153

GCF(67,612,459) x common factors =1 x 153 = 153

LCM(67,612,459) = ( 67 × 612 × 459 ) / 153

LCM(67,612,459) = 18820836 / 153

LCM(67,612,459) = 123012

∴ Least Common Multiple of 67,612,459 is 123012

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 67, 612, 459

1. What is the LCM of 67, 612, 459?

Answer: LCM of 67, 612, 459 is 123012.

2. What are the Factors of 123012?

Answer: Factors of 123012 are . There are integers that are factors of 123012

3. How to Find the LCM of 67, 612, 459 ?

Least Common Multiple of 67, 612, 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(67, 612, 459) = 2 x 2 x 3 x 3 x 3 x 17 x 67 = 123012.