Least Common Multiple of 13, 414, 468

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 13, 414, 468 i.e. 10764 smallest integer divisible by all numbers.

Least common multiple (LCM) of 13, 414, 468 is 10764.

LCM(13, 414, 468) = 10764

LCM of 13, 414, 468

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

LCM of:

Least Common Multiple of 13,414,468

Least Common Multiple (LCM) of 13,414,468 is 10764

2 13, 414, 468
3 13, 207, 234
3 13, 69, 78
13 13, 23, 26
1, 23, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 1 x 23 x 2 = 10764

Least Common Multiple of 13,414,468 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 13,414,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,414,468) = 1

common factors(in case of two or more numbers have common factors) = 234

GCF(13,414,468) x common factors =1 x 234 = 234

LCM(13,414,468) = ( 13 × 414 × 468 ) / 234

LCM(13,414,468) = 2518776 / 234

LCM(13,414,468) = 10764

∴ Least Common Multiple of 13,414,468 is 10764

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 13, 414, 468

1. What is the LCM of 13, 414, 468?

Answer: LCM of 13, 414, 468 is 10764.

2. What are the Factors of 10764?

Answer: Factors of 10764 are . There are integers that are factors of 10764

3. How to Find the LCM of 13, 414, 468 ?

Least Common Multiple of 13, 414, 468.

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(13, 414, 468) = 2 x 2 x 3 x 3 x 13 x 23 = 10764.