Least Common Multiple of 78, 87, 348

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 78, 87, 348 i.e. 4524 smallest integer divisible by all numbers.

Least common multiple (LCM) of 78, 87, 348 is 4524.

LCM(78, 87, 348) = 4524

LCM of 78, 87, 348

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

LCM of:

Least Common Multiple of 78,87,348

Least Common Multiple (LCM) of 78,87,348 is 4524

2 78, 87, 348
3 39, 87, 174
29 13, 29, 58
13, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 29 x 13 x 1 x 2 = 4524

Least Common Multiple of 78,87,348 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 78,87,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,87,348) = 3

common factors(in case of two or more numbers have common factors) = 174

GCF(78,87,348) x common factors =3 x 174 = 522

LCM(78,87,348) = ( 78 × 87 × 348 ) / 522

LCM(78,87,348) = 2361528 / 522

LCM(78,87,348) = 4524

∴ Least Common Multiple of 78,87,348 is 4524

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 78, 87, 348

1. What is the LCM of 78, 87, 348?

Answer: LCM of 78, 87, 348 is 4524.

2. What are the Factors of 4524?

Answer: Factors of 4524 are . There are integers that are factors of 4524

3. How to Find the LCM of 78, 87, 348 ?

Least Common Multiple of 78, 87, 348.

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(78, 87, 348) = 2 x 2 x 3 x 13 x 29 = 4524.