Least Common Multiple of 490, 5890

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, 5890 i.e. 288610 smallest integer divisible by all numbers.

Least common multiple (LCM) of 490, 5890 is 288610.

LCM(490, 5890) = 288610

LCM of 490, 5890

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

LCM of:

Least Common Multiple of 490,5890

Least Common Multiple (LCM) of 490,5890 is 288610

2 490, 5890
5 245, 2945
49, 589

∴ So the LCM of the given numbers is 2 x 5 x 49 x 589 = 288610

Least Common Multiple of 490,5890 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 490,5890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,5890) = 10

common factors(in case of two or more numbers have common factors) = 1

GCF(490,5890) x common factors =10 x 1 = 10

LCM(490,5890) = ( 490 × 5890 ) / 10

LCM(490,5890) = 2886100 / 10

LCM(490,5890) = 288610

∴ Least Common Multiple of 490,5890 is 288610

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 490, 5890

1. What is the LCM of 490, 5890?

Answer: LCM of 490, 5890 is 288610.

2. What are the Factors of 288610?

Answer: Factors of 288610 are . There are integers that are factors of 288610

3. How to Find the LCM of 490, 5890 ?

Least Common Multiple of 490, 5890.

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, 5890) = 2 x 5 x 7 x 7 x 19 x 31 = 288610.