Least Common Multiple of 1256/936, 1970/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1256/936, 1970/585 quickly i.e. 1237160/117 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1256/936, 1970/585 is 1237160/117.

LCM(1256/936, 1970/585) = 1237160/117

LCM of 1256/936, 1970/585

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 1256/936,1970/585

Given numbers are 1256/936,1970/585

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 1256,1970

Least Common Multiple of Numerators i.e. LCM of 1256,1970 is 1237160.

GCF of Denominators means GCF of 936,585 as per the given fractions.

GCF of 936,585 is 117 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1256,1970

LCM of Fractions 1256/936,1970/585 is 1237160/117

2 1256, 1970
628, 985

∴ So the LCM of the given numbers is 2 x 628 x 985 = 1237160

Least Common Multiple of 1256,1970 with GCF Formula

Least Common Multiple of 1256,1970 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 1256,1970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1256,1970) = 2

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

GCF(1256,1970) x common factors =2 x 1 = 2

LCM(1256,1970) = ( 1256 × 1970 ) / 2

LCM(1256,1970) = 2474320 / 2

LCM(1256,1970) = 1237160


Lets's calculate GCF of 936,585

3 936, 585
3 312, 195
13 104, 65
8, 5

∴ So the GCF of the given numbers is 3 x 3 x 13 = 117

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1237160/117

Therefore the LCM of Fractions 1256/936,1970/585 is 1237160/117

Greatest Common Factor of 936,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,585 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 936,585 . The biggest common factor number is the GCF number.
So the greatest common factor 936,585 is 117.


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 1256/936, 1970/585

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 1256/936, 1970/585?

Answer: LCM of Numerators as per given numbers 1256/936, 1970/585 is

LCM of Numerators i.e. for 1256,1970 is 1237160

GCF of denominators i.e. for 936,585 is 117.

Thus, LCM of Fractions is 1237160/117.Finally, LCM of Fractions for 1256/936, 1970/585 is 1237160/117.