Least Common Multiple of 980/56, 338/1502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/56, 338/1502 quickly i.e. 82810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/56, 338/1502 is 82810.

LCM(980/56, 338/1502) = 82810

LCM of 980/56, 338/1502

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 980/56,338/1502

Given numbers are 980/56,338/1502

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 980,338

Least Common Multiple of Numerators i.e. LCM of 980,338 is 165620.

GCF of Denominators means GCF of 56,1502 as per the given fractions.

GCF of 56,1502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,338

LCM of Fractions 980/56,338/1502 is 82810

2 980, 338
490, 169

∴ So the LCM of the given numbers is 2 x 490 x 169 = 165620

Least Common Multiple of 980,338 with GCF Formula

Least Common Multiple of 980,338 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 980,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,338) = 2

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

GCF(980,338) x common factors =2 x 1 = 2

LCM(980,338) = ( 980 × 338 ) / 2

LCM(980,338) = 331240 / 2

LCM(980,338) = 165620


Lets's calculate GCF of 56,1502

2 56, 1502
28, 751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165620/2

Therefore the LCM of Fractions 980/56,338/1502 is 82810

Greatest Common Factor of 56,1502 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,1502 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 1502

List of positive integer factors of 1502 that divides 1502 without a remainder.

1,2,751,1502

Greatest Common Factor

We found the factors 56,1502 . The biggest common factor number is the GCF number.
So the greatest common factor 56,1502 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 980/56, 338/1502

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 980/56, 338/1502?

Answer: LCM of Numerators as per given numbers 980/56, 338/1502 is

LCM of Numerators i.e. for 980,338 is 165620

GCF of denominators i.e. for 56,1502 is 2.

Thus, LCM of Fractions is 82810.Finally, LCM of Fractions for 980/56, 338/1502 is 82810.