Least Common Multiple of 560/970, 1649/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/970, 1649/118 quickly i.e. 461720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/970, 1649/118 is 461720.

LCM(560/970, 1649/118) = 461720

LCM of 560/970, 1649/118

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 560/970,1649/118

Given numbers are 560/970,1649/118

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 560,1649

Least Common Multiple of Numerators i.e. LCM of 560,1649 is 923440.

GCF of Denominators means GCF of 970,118 as per the given fractions.

GCF of 970,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,1649

LCM of Fractions 560/970,1649/118 is 461720

Given numbers has no common factors except 1. So, there LCM is their product i.e 923440

Least Common Multiple of 560,1649 with GCF Formula

Least Common Multiple of 560,1649 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 560,1649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,1649) = 1

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

GCF(560,1649) x common factors =1 x 1 = 1

LCM(560,1649) = ( 560 × 1649 ) / 1

LCM(560,1649) = 923440 / 1

LCM(560,1649) = 923440


Lets's calculate GCF of 970,118

2 970, 118
485, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 923440/2

Therefore the LCM of Fractions 560/970,1649/118 is 461720

Greatest Common Factor of 970,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,118 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 970,118 . The biggest common factor number is the GCF number.
So the greatest common factor 970,118 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 560/970, 1649/118

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 560/970, 1649/118?

Answer: LCM of Numerators as per given numbers 560/970, 1649/118 is

LCM of Numerators i.e. for 560,1649 is 923440

GCF of denominators i.e. for 970,118 is 2.

Thus, LCM of Fractions is 461720.Finally, LCM of Fractions for 560/970, 1649/118 is 461720.