Least Common Multiple of 78, 61, 31, 549

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, 61, 31, 549 i.e. 442494 smallest integer divisible by all numbers.

Least common multiple (LCM) of 78, 61, 31, 549 is 442494.

LCM(78, 61, 31, 549) = 442494

LCM of 78, 61, 31, 549

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

LCM of:

Least Common Multiple of 78,61,31,549

Least Common Multiple (LCM) of 78,61,31,549 is 442494

3 78, 61, 31, 549
61 26, 61, 31, 183
26, 1, 31, 3

∴ So the LCM of the given numbers is 3 x 61 x 26 x 1 x 31 x 3 = 442494

Least Common Multiple of 78,61,31,549 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 78,61,31,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,61,31,549) = 1

common factors(in case of two or more numbers have common factors) = 183

GCF(78,61,31,549) x common factors =1 x 183 = 183

LCM(78,61,31,549) = ( 78 × 61 × 31 × 549 ) / 183

LCM(78,61,31,549) = 80976402 / 183

LCM(78,61,31,549) = 442494

∴ Least Common Multiple of 78,61,31,549 is 442494

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 78, 61, 31, 549

1. What is the LCM of 78, 61, 31, 549?

Answer: LCM of 78, 61, 31, 549 is 442494.

2. What are the Factors of 442494?

Answer: Factors of 442494 are . There are integers that are factors of 442494

3. How to Find the LCM of 78, 61, 31, 549 ?

Least Common Multiple of 78, 61, 31, 549.

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, 61, 31, 549) = 2 x 3 x 3 x 13 x 31 x 61 = 442494.