Least Common Multiple of 68, 76, 29, 44, 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 68, 76, 29, 44, 748 i.e. 412148 smallest integer divisible by all numbers.

Least common multiple (LCM) of 68, 76, 29, 44, 748 is 412148.

LCM(68, 76, 29, 44, 748) = 412148

LCM of 68, 76, 29, 44, 748

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

LCM of:

Least Common Multiple of 68,76,29,44,748

Least Common Multiple (LCM) of 68,76,29,44,748 is 412148

2 68, 76, 29, 44, 748
2 34, 38, 29, 22, 374
11 17, 19, 29, 11, 187
17 17, 19, 29, 1, 17
1, 19, 29, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 1 x 19 x 29 x 1 x 1 = 412148

Least Common Multiple of 68,76,29,44,748 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 68,76,29,44,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,76,29,44,748) = 1

common factors(in case of two or more numbers have common factors) = 11968

GCF(68,76,29,44,748) x common factors =1 x 11968 = 11968

LCM(68,76,29,44,748) = ( 68 × 76 × 29 × 44 × 748 ) / 11968

LCM(68,76,29,44,748) = 4932587264 / 11968

LCM(68,76,29,44,748) = 412148

∴ Least Common Multiple of 68,76,29,44,748 is 412148

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 68, 76, 29, 44, 748

1. What is the LCM of 68, 76, 29, 44, 748?

Answer: LCM of 68, 76, 29, 44, 748 is 412148.

2. What are the Factors of 412148?

Answer: Factors of 412148 are . There are integers that are factors of 412148

3. How to Find the LCM of 68, 76, 29, 44, 748 ?

Least Common Multiple of 68, 76, 29, 44, 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(68, 76, 29, 44, 748) = 2 x 2 x 11 x 17 x 19 x 29 = 412148.