Least Common Multiple of 40, 68, 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 40, 68, 748 i.e. 7480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 40, 68, 748 is 7480.

LCM(40, 68, 748) = 7480

LCM of 40, 68, 748

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

LCM of:

Least Common Multiple of 40,68,748

Least Common Multiple (LCM) of 40,68,748 is 7480

2 40, 68, 748
2 20, 34, 374
17 10, 17, 187
10, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 17 x 10 x 1 x 11 = 7480

Least Common Multiple of 40,68,748 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 40,68,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,68,748) = 4

common factors(in case of two or more numbers have common factors) = 68

GCF(40,68,748) x common factors =4 x 68 = 272

LCM(40,68,748) = ( 40 × 68 × 748 ) / 272

LCM(40,68,748) = 2034560 / 272

LCM(40,68,748) = 7480

∴ Least Common Multiple of 40,68,748 is 7480

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 40, 68, 748

1. What is the LCM of 40, 68, 748?

Answer: LCM of 40, 68, 748 is 7480.

2. What are the Factors of 7480?

Answer: Factors of 7480 are . There are integers that are factors of 7480

3. How to Find the LCM of 40, 68, 748 ?

Least Common Multiple of 40, 68, 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(40, 68, 748) = 2 x 2 x 2 x 5 x 11 x 17 = 7480.