Least Common Multiple of 959/440, 980/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 959/440, 980/748 quickly i.e. 134260/44 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 959/440, 980/748 is 134260/44.

LCM(959/440, 980/748) = 134260/44

LCM of 959/440, 980/748

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 959/440,980/748

Given numbers are 959/440,980/748

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 959,980

Least Common Multiple of Numerators i.e. LCM of 959,980 is 134260.

GCF of Denominators means GCF of 440,748 as per the given fractions.

GCF of 440,748 is 44 as it is the largest common factor for these numbers.

Lets's calculate LCM of 959,980

LCM of Fractions 959/440,980/748 is 134260/44

7 959, 980
137, 140

∴ So the LCM of the given numbers is 7 x 137 x 140 = 134260

Least Common Multiple of 959,980 with GCF Formula

Least Common Multiple of 959,980 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 959,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,980) = 7

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

GCF(959,980) x common factors =7 x 1 = 7

LCM(959,980) = ( 959 × 980 ) / 7

LCM(959,980) = 939820 / 7

LCM(959,980) = 134260


Lets's calculate GCF of 440,748

2 440, 748
2 220, 374
11 110, 187
10, 17

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134260/44

Therefore the LCM of Fractions 959/440,980/748 is 134260/44

Greatest Common Factor of 440,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,748 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 440,748 . The biggest common factor number is the GCF number.
So the greatest common factor 440,748 is 44.


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 959/440, 980/748

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 959/440, 980/748?

Answer: LCM of Numerators as per given numbers 959/440, 980/748 is

LCM of Numerators i.e. for 959,980 is 134260

GCF of denominators i.e. for 440,748 is 44.

Thus, LCM of Fractions is 134260/44.Finally, LCM of Fractions for 959/440, 980/748 is 134260/44.