Least Common Multiple of 290, 207, 812, 414

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 290, 207, 812, 414 i.e. 840420 smallest integer divisible by all numbers.

Least common multiple (LCM) of 290, 207, 812, 414 is 840420.

LCM(290, 207, 812, 414) = 840420

LCM of 290, 207, 812, 414

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

LCM of:

Least Common Multiple of 290,207,812,414

Least Common Multiple (LCM) of 290,207,812,414 is 840420

2 290, 207, 812, 414
3 145, 207, 406, 207
3 145, 69, 406, 69
23 145, 23, 406, 23
29 145, 1, 406, 1
5, 1, 14, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 29 x 5 x 1 x 14 x 1 = 840420

Least Common Multiple of 290,207,812,414 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 290,207,812,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,207,812,414) = 1

common factors(in case of two or more numbers have common factors) = 24012

GCF(290,207,812,414) x common factors =1 x 24012 = 24012

LCM(290,207,812,414) = ( 290 × 207 × 812 × 414 ) / 24012

LCM(290,207,812,414) = 20180165040 / 24012

LCM(290,207,812,414) = 840420

∴ Least Common Multiple of 290,207,812,414 is 840420

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 290, 207, 812, 414

1. What is the LCM of 290, 207, 812, 414?

Answer: LCM of 290, 207, 812, 414 is 840420.

2. What are the Factors of 840420?

Answer: Factors of 840420 are . There are integers that are factors of 840420

3. How to Find the LCM of 290, 207, 812, 414 ?

Least Common Multiple of 290, 207, 812, 414.

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(290, 207, 812, 414) = 2 x 2 x 3 x 3 x 5 x 7 x 23 x 29 = 840420.