Least Common Multiple of 748, 170, 380

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 748, 170, 380 i.e. 71060 smallest integer divisible by all numbers.

Least common multiple (LCM) of 748, 170, 380 is 71060.

LCM(748, 170, 380) = 71060

LCM of 748, 170, 380

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

LCM of:

Least Common Multiple of 748,170,380

Least Common Multiple (LCM) of 748,170,380 is 71060

2 748, 170, 380
2 374, 85, 190
5 187, 85, 95
17 187, 17, 19
11, 1, 19

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 11 x 1 x 19 = 71060

Least Common Multiple of 748,170,380 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 748,170,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,170,380) = 2

common factors(in case of two or more numbers have common factors) = 340

GCF(748,170,380) x common factors =2 x 340 = 680

LCM(748,170,380) = ( 748 × 170 × 380 ) / 680

LCM(748,170,380) = 48320800 / 680

LCM(748,170,380) = 71060

∴ Least Common Multiple of 748,170,380 is 71060

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 748, 170, 380

1. What is the LCM of 748, 170, 380?

Answer: LCM of 748, 170, 380 is 71060.

2. What are the Factors of 71060?

Answer: Factors of 71060 are . There are integers that are factors of 71060

3. How to Find the LCM of 748, 170, 380 ?

Least Common Multiple of 748, 170, 380.

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(748, 170, 380) = 2 x 2 x 5 x 11 x 17 x 19 = 71060.