Least Common Multiple of 390, 285, 980

Q: How to Find the LCM of 390, 285, 980 ?

Least Common Multiple of 390, 285, 980 = 726180 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(390, 285, 980) = 2 x 2 x 3 x 5 x 7 x 7 x 13 x 19 = 726180.

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 390, 285, 980 i.e. 726180 smallest integer divisible by all numbers.

Least common multiple (LCM) of 390, 285, 980 is 726180.

LCM(390, 285, 980) = 726180

LCM of 390, 285, 980

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

Least Common Multiple of 390, 285, 980 by common division method
Least Common Multiple of 390, 285, 980 with GCF Formula

Least Common Multiple of 390,285,980

Least Common Multiple (LCM) of 390,285,980 is 726180

2	390, 285, 980
3	195, 285, 490
5	65, 95, 490
	13, 19, 98

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 19 x 98 = 726180

Least Common Multiple of 390,285,980 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 390,285,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,285,980) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(390,285,980) x common factors =5 x 30 = 150

LCM(390,285,980) = ( 390 × 285 × 980 ) / 150

LCM(390,285,980) = 108927000 / 150

LCM(390,285,980) = 726180

∴ Least Common Multiple of 390,285,980 is 726180

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 390, 285, 980

1. What is the LCM of 390, 285, 980?

Answer: LCM of 390, 285, 980 is 726180.

2. What are the Factors of 726180?

Answer: Factors of 726180 are . There are integers that are factors of 726180

3. How to Find the LCM of 390, 285, 980 ?

Least Common Multiple of 390, 285, 980.

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(390, 285, 980) = 2 x 2 x 3 x 5 x 7 x 7 x 13 x 19 = 726180.