Least Common Multiple of 334/31, 520/80, 975/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/31, 520/80, 975/20 quickly i.e. 1302600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/31, 520/80, 975/20 is 1302600.

LCM(334/31, 520/80, 975/20) = 1302600

LCM of 334/31, 520/80, 975/20

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 334/31,520/80,975/20

Given numbers are 334/31,520/80,975/20

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 334,520,975

Least Common Multiple of Numerators i.e. LCM of 334,520,975 is 1302600.

GCF of Denominators means GCF of 31,80,20 as per the given fractions.

GCF of 31,80,20 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,520,975

LCM of Fractions 334/31,520/80,975/20 is 1302600

2 334, 520, 975
5 167, 260, 975
13 167, 52, 195
167, 4, 15

∴ So the LCM of the given numbers is 2 x 5 x 13 x 167 x 4 x 15 = 1302600

Least Common Multiple of 334,520,975 with GCF Formula

Least Common Multiple of 334,520,975 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 334,520,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,520,975) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(334,520,975) x common factors =1 x 130 = 130

LCM(334,520,975) = ( 334 × 520 × 975 ) / 130

LCM(334,520,975) = 169338000 / 130

LCM(334,520,975) = 1302600


Lets's calculate GCF of 31,80,20

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1302600/1

Therefore the LCM of Fractions 334/31,520/80,975/20 is 1302600

Greatest Common Factor of 31,80,20 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,80,20 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Greatest Common Factor

We found the factors 31,80,20 . The biggest common factor number is the GCF number.
So the greatest common factor 31,80,20 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 334/31, 520/80, 975/20

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 334/31, 520/80, 975/20?

Answer: LCM of Numerators as per given numbers 334/31, 520/80, 975/20 is

LCM of Numerators i.e. for 334,520,975 is 1302600

GCF of denominators i.e. for 31,80,20 is 1.

Thus, LCM of Fractions is 1302600.Finally, LCM of Fractions for 334/31, 520/80, 975/20 is 1302600.