Least Common Multiple of 490, 874, 517, 589

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 490, 874, 517, 589 i.e. 3431861510 smallest integer divisible by all numbers.

Least common multiple (LCM) of 490, 874, 517, 589 is 3431861510.

LCM(490, 874, 517, 589) = 3431861510

LCM of 490, 874, 517, 589

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

LCM of:

Least Common Multiple of 490,874,517,589

Least Common Multiple (LCM) of 490,874,517,589 is 3431861510

2 490, 874, 517, 589
19 245, 437, 517, 589
245, 23, 517, 31

∴ So the LCM of the given numbers is 2 x 19 x 245 x 23 x 517 x 31 = 3431861510

Least Common Multiple of 490,874,517,589 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 490,874,517,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,874,517,589) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(490,874,517,589) x common factors =1 x 38 = 38

LCM(490,874,517,589) = ( 490 × 874 × 517 × 589 ) / 38

LCM(490,874,517,589) = 130410737380 / 38

LCM(490,874,517,589) = 3431861510

∴ Least Common Multiple of 490,874,517,589 is 3431861510

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 490, 874, 517, 589

1. What is the LCM of 490, 874, 517, 589?

Answer: LCM of 490, 874, 517, 589 is 3431861510.

2. What are the Factors of 3431861510?

Answer: Factors of 3431861510 are . There are integers that are factors of 3431861510

3. How to Find the LCM of 490, 874, 517, 589 ?

Least Common Multiple of 490, 874, 517, 589.

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(490, 874, 517, 589) = 2 x 5 x 7 x 7 x 11 x 19 x 23 x 31 x 47 = 3431861510.