Least Common Multiple of 7245/980, 1312/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7245/980, 1312/100 quickly i.e. 475272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7245/980, 1312/100 is 475272.

LCM(7245/980, 1312/100) = 475272

LCM of 7245/980, 1312/100

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 7245/980,1312/100

Given numbers are 7245/980,1312/100

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 7245,1312

Least Common Multiple of Numerators i.e. LCM of 7245,1312 is 9505440.

GCF of Denominators means GCF of 980,100 as per the given fractions.

GCF of 980,100 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7245,1312

LCM of Fractions 7245/980,1312/100 is 475272

Given numbers has no common factors except 1. So, there LCM is their product i.e 9505440

Least Common Multiple of 7245,1312 with GCF Formula

Least Common Multiple of 7245,1312 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 7245,1312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7245,1312) = 1

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

GCF(7245,1312) x common factors =1 x 1 = 1

LCM(7245,1312) = ( 7245 × 1312 ) / 1

LCM(7245,1312) = 9505440 / 1

LCM(7245,1312) = 9505440


Lets's calculate GCF of 980,100

2 980, 100
2 490, 50
5 245, 25
49, 5

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9505440/20

Therefore the LCM of Fractions 7245/980,1312/100 is 475272

Greatest Common Factor of 980,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,100 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 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 980,100 . The biggest common factor number is the GCF number.
So the greatest common factor 980,100 is 20.


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 7245/980, 1312/100

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 7245/980, 1312/100?

Answer: LCM of Numerators as per given numbers 7245/980, 1312/100 is

LCM of Numerators i.e. for 7245,1312 is 9505440

GCF of denominators i.e. for 980,100 is 20.

Thus, LCM of Fractions is 475272.Finally, LCM of Fractions for 7245/980, 1312/100 is 475272.