Least Common Multiple of 750, 160, 490

Q: How to Find the LCM of 750, 160, 490 ?

Least Common Multiple of 750, 160, 490 = 588000 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(750, 160, 490) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 x 7 = 588000.

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 750, 160, 490 i.e. 588000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 750, 160, 490 is 588000.

LCM(750, 160, 490) = 588000

LCM of 750, 160, 490

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

Least Common Multiple of 750, 160, 490 by common division method
Least Common Multiple of 750, 160, 490 with GCF Formula

Least Common Multiple of 750,160,490

Least Common Multiple (LCM) of 750,160,490 is 588000

2	750, 160, 490
5	375, 80, 245
	75, 16, 49

∴ So the LCM of the given numbers is 2 x 5 x 75 x 16 x 49 = 588000

Least Common Multiple of 750,160,490 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 750,160,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,160,490) = 10

common factors(in case of two or more numbers have common factors) = 10

GCF(750,160,490) x common factors =10 x 10 = 100

LCM(750,160,490) = ( 750 × 160 × 490 ) / 100

LCM(750,160,490) = 58800000 / 100

LCM(750,160,490) = 588000

∴ Least Common Multiple of 750,160,490 is 588000

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 750, 160, 490

1. What is the LCM of 750, 160, 490?

Answer: LCM of 750, 160, 490 is 588000.

2. What are the Factors of 588000?

Answer: Factors of 588000 are . There are integers that are factors of 588000

3. How to Find the LCM of 750, 160, 490 ?

Least Common Multiple of 750, 160, 490.

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(750, 160, 490) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 x 7 = 588000.