Least Common Multiple of 761/38, 980/8960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 761/38, 980/8960 quickly i.e. 372890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 761/38, 980/8960 is 372890.

LCM(761/38, 980/8960) = 372890

LCM of 761/38, 980/8960

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 761/38,980/8960

Given numbers are 761/38,980/8960

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 761,980

Least Common Multiple of Numerators i.e. LCM of 761,980 is 745780.

GCF of Denominators means GCF of 38,8960 as per the given fractions.

GCF of 38,8960 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 761,980

LCM of Fractions 761/38,980/8960 is 372890

Given numbers has no common factors except 1. So, there LCM is their product i.e 745780

Least Common Multiple of 761,980 with GCF Formula

Least Common Multiple of 761,980 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 761,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,980) = 1

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

GCF(761,980) x common factors =1 x 1 = 1

LCM(761,980) = ( 761 × 980 ) / 1

LCM(761,980) = 745780 / 1

LCM(761,980) = 745780


Lets's calculate GCF of 38,8960

2 38, 8960
19, 4480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 745780/2

Therefore the LCM of Fractions 761/38,980/8960 is 372890

Greatest Common Factor of 38,8960 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,8960 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 8960

List of positive integer factors of 8960 that divides 8960 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,256,280,320,448,560,640,896,1120,1280,1792,2240,4480,8960

Greatest Common Factor

We found the factors 38,8960 . The biggest common factor number is the GCF number.
So the greatest common factor 38,8960 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 761/38, 980/8960

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 761/38, 980/8960?

Answer: LCM of Numerators as per given numbers 761/38, 980/8960 is

LCM of Numerators i.e. for 761,980 is 745780

GCF of denominators i.e. for 38,8960 is 2.

Thus, LCM of Fractions is 372890.Finally, LCM of Fractions for 761/38, 980/8960 is 372890.