Least Common Multiple of 1310/980, 7768/1982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1310/980, 7768/1982 quickly i.e. 2544020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1310/980, 7768/1982 is 2544020.

LCM(1310/980, 7768/1982) = 2544020

LCM of 1310/980, 7768/1982

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 1310/980,7768/1982

Given numbers are 1310/980,7768/1982

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 1310,7768

Least Common Multiple of Numerators i.e. LCM of 1310,7768 is 5088040.

GCF of Denominators means GCF of 980,1982 as per the given fractions.

GCF of 980,1982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1310,7768

LCM of Fractions 1310/980,7768/1982 is 2544020

2 1310, 7768
655, 3884

∴ So the LCM of the given numbers is 2 x 655 x 3884 = 5088040

Least Common Multiple of 1310,7768 with GCF Formula

Least Common Multiple of 1310,7768 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 1310,7768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1310,7768) = 2

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

GCF(1310,7768) x common factors =2 x 1 = 2

LCM(1310,7768) = ( 1310 × 7768 ) / 2

LCM(1310,7768) = 10176080 / 2

LCM(1310,7768) = 5088040


Lets's calculate GCF of 980,1982

2 980, 1982
490, 991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5088040/2

Therefore the LCM of Fractions 1310/980,7768/1982 is 2544020

Greatest Common Factor of 980,1982 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,1982 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 1982

List of positive integer factors of 1982 that divides 1982 without a remainder.

1,2,991,1982

Greatest Common Factor

We found the factors 980,1982 . The biggest common factor number is the GCF number.
So the greatest common factor 980,1982 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 1310/980, 7768/1982

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 1310/980, 7768/1982?

Answer: LCM of Numerators as per given numbers 1310/980, 7768/1982 is

LCM of Numerators i.e. for 1310,7768 is 5088040

GCF of denominators i.e. for 980,1982 is 2.

Thus, LCM of Fractions is 2544020.Finally, LCM of Fractions for 1310/980, 7768/1982 is 2544020.