Least Common Multiple of 40, 76, 57, 835

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, 76, 57, 835 i.e. 380760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 40, 76, 57, 835 is 380760.

LCM(40, 76, 57, 835) = 380760

LCM of 40, 76, 57, 835

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

LCM of:

Least Common Multiple of 40,76,57,835

Least Common Multiple (LCM) of 40,76,57,835 is 380760

2 40, 76, 57, 835
2 20, 38, 57, 835
5 10, 19, 57, 835
19 2, 19, 57, 167
2, 1, 3, 167

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 2 x 1 x 3 x 167 = 380760

Least Common Multiple of 40,76,57,835 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 40,76,57,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,76,57,835) = 1

common factors(in case of two or more numbers have common factors) = 380

GCF(40,76,57,835) x common factors =1 x 380 = 380

LCM(40,76,57,835) = ( 40 × 76 × 57 × 835 ) / 380

LCM(40,76,57,835) = 144688800 / 380

LCM(40,76,57,835) = 380760

∴ Least Common Multiple of 40,76,57,835 is 380760

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 40, 76, 57, 835

1. What is the LCM of 40, 76, 57, 835?

Answer: LCM of 40, 76, 57, 835 is 380760.

2. What are the Factors of 380760?

Answer: Factors of 380760 are . There are integers that are factors of 380760

3. How to Find the LCM of 40, 76, 57, 835 ?

Least Common Multiple of 40, 76, 57, 835.

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, 76, 57, 835) = 2 x 2 x 2 x 3 x 5 x 19 x 167 = 380760.