Least Common Multiple of 828, 444, 413, 959

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 828, 444, 413, 959 i.e. 1733415516 smallest integer divisible by all numbers.

Least common multiple (LCM) of 828, 444, 413, 959 is 1733415516.

LCM(828, 444, 413, 959) = 1733415516

LCM of 828, 444, 413, 959

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

LCM of:

Least Common Multiple of 828,444,413,959

Least Common Multiple (LCM) of 828,444,413,959 is 1733415516

2 828, 444, 413, 959
2 414, 222, 413, 959
3 207, 111, 413, 959
7 69, 37, 413, 959
69, 37, 59, 137

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 69 x 37 x 59 x 137 = 1733415516

Least Common Multiple of 828,444,413,959 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 828,444,413,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,444,413,959) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(828,444,413,959) x common factors =1 x 84 = 84

LCM(828,444,413,959) = ( 828 × 444 × 413 × 959 ) / 84

LCM(828,444,413,959) = 145606903344 / 84

LCM(828,444,413,959) = 1733415516

∴ Least Common Multiple of 828,444,413,959 is 1733415516

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 828, 444, 413, 959

1. What is the LCM of 828, 444, 413, 959?

Answer: LCM of 828, 444, 413, 959 is 1733415516.

2. What are the Factors of 1733415516?

Answer: Factors of 1733415516 are . There are integers that are factors of 1733415516

3. How to Find the LCM of 828, 444, 413, 959 ?

Least Common Multiple of 828, 444, 413, 959.

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(828, 444, 413, 959) = 2 x 2 x 3 x 3 x 7 x 23 x 37 x 59 x 137 = 1733415516.