Least Common Multiple of 560/30, 967/6134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/30, 967/6134 quickly i.e. 270760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/30, 967/6134 is 270760.

LCM(560/30, 967/6134) = 270760

LCM of 560/30, 967/6134

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 560/30,967/6134

Given numbers are 560/30,967/6134

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 560,967

Least Common Multiple of Numerators i.e. LCM of 560,967 is 541520.

GCF of Denominators means GCF of 30,6134 as per the given fractions.

GCF of 30,6134 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,967

LCM of Fractions 560/30,967/6134 is 270760

Given numbers has no common factors except 1. So, there LCM is their product i.e 541520

Least Common Multiple of 560,967 with GCF Formula

Least Common Multiple of 560,967 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 560,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,967) = 1

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

GCF(560,967) x common factors =1 x 1 = 1

LCM(560,967) = ( 560 × 967 ) / 1

LCM(560,967) = 541520 / 1

LCM(560,967) = 541520


Lets's calculate GCF of 30,6134

2 30, 6134
15, 3067

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 541520/2

Therefore the LCM of Fractions 560/30,967/6134 is 270760

Greatest Common Factor of 30,6134 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,6134 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 6134

List of positive integer factors of 6134 that divides 6134 without a remainder.

1,2,3067,6134

Greatest Common Factor

We found the factors 30,6134 . The biggest common factor number is the GCF number.
So the greatest common factor 30,6134 is 2.


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 560/30, 967/6134

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 560/30, 967/6134?

Answer: LCM of Numerators as per given numbers 560/30, 967/6134 is

LCM of Numerators i.e. for 560,967 is 541520

GCF of denominators i.e. for 30,6134 is 2.

Thus, LCM of Fractions is 270760.Finally, LCM of Fractions for 560/30, 967/6134 is 270760.