Least Common Multiple of 59, 84, 35, 40, 828

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 59, 84, 35, 40, 828 i.e. 3419640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 59, 84, 35, 40, 828 is 3419640.

LCM(59, 84, 35, 40, 828) = 3419640

LCM of 59, 84, 35, 40, 828

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

LCM of:

Least Common Multiple of 59,84,35,40,828

Least Common Multiple (LCM) of 59,84,35,40,828 is 3419640

2 59, 84, 35, 40, 828
2 59, 42, 35, 20, 414
3 59, 21, 35, 10, 207
5 59, 7, 35, 10, 69
7 59, 7, 7, 2, 69
59, 1, 1, 2, 69

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 59 x 1 x 1 x 2 x 69 = 3419640

Least Common Multiple of 59,84,35,40,828 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 59,84,35,40,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,84,35,40,828) = 1

common factors(in case of two or more numbers have common factors) = 1680

GCF(59,84,35,40,828) x common factors =1 x 1680 = 1680

LCM(59,84,35,40,828) = ( 59 × 84 × 35 × 40 × 828 ) / 1680

LCM(59,84,35,40,828) = 5744995200 / 1680

LCM(59,84,35,40,828) = 3419640

∴ Least Common Multiple of 59,84,35,40,828 is 3419640

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 59, 84, 35, 40, 828

1. What is the LCM of 59, 84, 35, 40, 828?

Answer: LCM of 59, 84, 35, 40, 828 is 3419640.

2. What are the Factors of 3419640?

Answer: Factors of 3419640 are . There are integers that are factors of 3419640

3. How to Find the LCM of 59, 84, 35, 40, 828 ?

Least Common Multiple of 59, 84, 35, 40, 828.

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(59, 84, 35, 40, 828) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 23 x 59 = 3419640.