Least Common Multiple of 973/31, 130/1245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 973/31, 130/1245 quickly i.e. 126490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/31, 130/1245 is 126490.

LCM(973/31, 130/1245) = 126490

LCM of 973/31, 130/1245

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 973/31,130/1245

Given numbers are 973/31,130/1245

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 973,130

Least Common Multiple of Numerators i.e. LCM of 973,130 is 126490.

GCF of Denominators means GCF of 31,1245 as per the given fractions.

GCF of 31,1245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,130

LCM of Fractions 973/31,130/1245 is 126490

Given numbers has no common factors except 1. So, there LCM is their product i.e 126490

Least Common Multiple of 973,130 with GCF Formula

Least Common Multiple of 973,130 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 973,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,130) = 1

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

GCF(973,130) x common factors =1 x 1 = 1

LCM(973,130) = ( 973 × 130 ) / 1

LCM(973,130) = 126490 / 1

LCM(973,130) = 126490


Lets's calculate GCF of 31,1245

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126490/1

Therefore the LCM of Fractions 973/31,130/1245 is 126490

Greatest Common Factor of 31,1245 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,1245 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 1245

List of positive integer factors of 1245 that divides 1245 without a remainder.

1,3,5,15,83,249,415,1245

Greatest Common Factor

We found the factors 31,1245 . The biggest common factor number is the GCF number.
So the greatest common factor 31,1245 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 973/31, 130/1245

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 973/31, 130/1245?

Answer: LCM of Numerators as per given numbers 973/31, 130/1245 is

LCM of Numerators i.e. for 973,130 is 126490

GCF of denominators i.e. for 31,1245 is 1.

Thus, LCM of Fractions is 126490.Finally, LCM of Fractions for 973/31, 130/1245 is 126490.