Least Common Multiple of 380, 980, 17

Q: How to Find the LCM of 380, 980, 17 ?

Least Common Multiple of 380, 980, 17 = 316540 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(380, 980, 17) = 2 x 2 x 5 x 7 x 7 x 17 x 19 = 316540.

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 380, 980, 17 i.e. 316540 smallest integer divisible by all numbers.

Least common multiple (LCM) of 380, 980, 17 is 316540.

LCM(380, 980, 17) = 316540

LCM of 380, 980, 17

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

Least Common Multiple of 380, 980, 17 by common division method
Least Common Multiple of 380, 980, 17 with GCF Formula

Least Common Multiple of 380,980,17

Least Common Multiple (LCM) of 380,980,17 is 316540

2	380, 980, 17
2	190, 490, 17
5	95, 245, 17
	19, 49, 17

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 49 x 17 = 316540

Least Common Multiple of 380,980,17 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 380,980,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,980,17) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(380,980,17) x common factors =1 x 20 = 20

LCM(380,980,17) = ( 380 × 980 × 17 ) / 20

LCM(380,980,17) = 6330800 / 20

LCM(380,980,17) = 316540

∴ Least Common Multiple of 380,980,17 is 316540

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 380, 980, 17

1. What is the LCM of 380, 980, 17?

Answer: LCM of 380, 980, 17 is 316540.

2. What are the Factors of 316540?

Answer: Factors of 316540 are . There are integers that are factors of 316540

3. How to Find the LCM of 380, 980, 17 ?

Least Common Multiple of 380, 980, 17.

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(380, 980, 17) = 2 x 2 x 5 x 7 x 7 x 17 x 19 = 316540.