Least Common Multiple of 74, 20, 61, 185

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 74, 20, 61, 185 i.e. 45140 smallest integer divisible by all numbers.

Least common multiple (LCM) of 74, 20, 61, 185 is 45140.

LCM(74, 20, 61, 185) = 45140

LCM of 74, 20, 61, 185

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

LCM of:

Least Common Multiple of 74,20,61,185

Least Common Multiple (LCM) of 74,20,61,185 is 45140

2 74, 20, 61, 185
5 37, 10, 61, 185
37 37, 2, 61, 37
1, 2, 61, 1

∴ So the LCM of the given numbers is 2 x 5 x 37 x 1 x 2 x 61 x 1 = 45140

Least Common Multiple of 74,20,61,185 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 74,20,61,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,20,61,185) = 1

common factors(in case of two or more numbers have common factors) = 370

GCF(74,20,61,185) x common factors =1 x 370 = 370

LCM(74,20,61,185) = ( 74 × 20 × 61 × 185 ) / 370

LCM(74,20,61,185) = 16701800 / 370

LCM(74,20,61,185) = 45140

∴ Least Common Multiple of 74,20,61,185 is 45140

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 74, 20, 61, 185

1. What is the LCM of 74, 20, 61, 185?

Answer: LCM of 74, 20, 61, 185 is 45140.

2. What are the Factors of 45140?

Answer: Factors of 45140 are . There are integers that are factors of 45140

3. How to Find the LCM of 74, 20, 61, 185 ?

Least Common Multiple of 74, 20, 61, 185.

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(74, 20, 61, 185) = 2 x 2 x 5 x 37 x 61 = 45140.