Least Common Multiple of 37, 45, 209, 748

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 37, 45, 209, 748 i.e. 23662980 smallest integer divisible by all numbers.

Least common multiple (LCM) of 37, 45, 209, 748 is 23662980.

LCM(37, 45, 209, 748) = 23662980

LCM of 37, 45, 209, 748

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

LCM of:

Least Common Multiple of 37,45,209,748

Least Common Multiple (LCM) of 37,45,209,748 is 23662980

11 37, 45, 209, 748
37, 45, 19, 68

∴ So the LCM of the given numbers is 11 x 37 x 45 x 19 x 68 = 23662980

Least Common Multiple of 37,45,209,748 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 37,45,209,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,45,209,748) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(37,45,209,748) x common factors =1 x 11 = 11

LCM(37,45,209,748) = ( 37 × 45 × 209 × 748 ) / 11

LCM(37,45,209,748) = 260292780 / 11

LCM(37,45,209,748) = 23662980

∴ Least Common Multiple of 37,45,209,748 is 23662980

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 37, 45, 209, 748

1. What is the LCM of 37, 45, 209, 748?

Answer: LCM of 37, 45, 209, 748 is 23662980.

2. What are the Factors of 23662980?

Answer: Factors of 23662980 are . There are integers that are factors of 23662980

3. How to Find the LCM of 37, 45, 209, 748 ?

Least Common Multiple of 37, 45, 209, 748.

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(37, 45, 209, 748) = 2 x 2 x 3 x 3 x 5 x 11 x 17 x 19 x 37 = 23662980.