Least Common Multiple of 385, 875, 408, 404, 689

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 385, 875, 408, 404, 689 i.e. 273276003000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 385, 875, 408, 404, 689 is 273276003000.

LCM(385, 875, 408, 404, 689) = 273276003000

LCM of 385, 875, 408, 404, 689

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

LCM of:

Least Common Multiple of 385,875,408,404,689

Least Common Multiple (LCM) of 385,875,408,404,689 is 273276003000

2 385, 875, 408, 404, 689
2 385, 875, 204, 202, 689
5 385, 875, 102, 101, 689
7 77, 175, 102, 101, 689
11, 25, 102, 101, 689

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 11 x 25 x 102 x 101 x 689 = 273276003000

Least Common Multiple of 385,875,408,404,689 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 385,875,408,404,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,875,408,404,689) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(385,875,408,404,689) x common factors =1 x 140 = 140

LCM(385,875,408,404,689) = ( 385 × 875 × 408 × 404 × 689 ) / 140

LCM(385,875,408,404,689) = 38258640420000 / 140

LCM(385,875,408,404,689) = 273276003000

∴ Least Common Multiple of 385,875,408,404,689 is 273276003000

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 385, 875, 408, 404, 689

1. What is the LCM of 385, 875, 408, 404, 689?

Answer: LCM of 385, 875, 408, 404, 689 is 273276003000.

2. What are the Factors of 273276003000?

Answer: Factors of 273276003000 are . There are integers that are factors of 273276003000

3. How to Find the LCM of 385, 875, 408, 404, 689 ?

Least Common Multiple of 385, 875, 408, 404, 689.

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(385, 875, 408, 404, 689) = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 x 11 x 13 x 17 x 53 x 101 = 273276003000.