Least Common Multiple of 9514/240, 7131/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9514/240, 7131/889 quickly i.e. 67844334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9514/240, 7131/889 is 67844334.

LCM(9514/240, 7131/889) = 67844334

LCM of 9514/240, 7131/889

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 9514/240,7131/889

Given numbers are 9514/240,7131/889

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 9514,7131

Least Common Multiple of Numerators i.e. LCM of 9514,7131 is 67844334.

GCF of Denominators means GCF of 240,889 as per the given fractions.

GCF of 240,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9514,7131

LCM of Fractions 9514/240,7131/889 is 67844334

Given numbers has no common factors except 1. So, there LCM is their product i.e 67844334

Least Common Multiple of 9514,7131 with GCF Formula

Least Common Multiple of 9514,7131 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 9514,7131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9514,7131) = 1

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

GCF(9514,7131) x common factors =1 x 1 = 1

LCM(9514,7131) = ( 9514 × 7131 ) / 1

LCM(9514,7131) = 67844334 / 1

LCM(9514,7131) = 67844334


Lets's calculate GCF of 240,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67844334/1

Therefore the LCM of Fractions 9514/240,7131/889 is 67844334

Greatest Common Factor of 240,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,889 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 240,889 . The biggest common factor number is the GCF number.
So the greatest common factor 240,889 is 1.


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 9514/240, 7131/889

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 9514/240, 7131/889?

Answer: LCM of Numerators as per given numbers 9514/240, 7131/889 is

LCM of Numerators i.e. for 9514,7131 is 67844334

GCF of denominators i.e. for 240,889 is 1.

Thus, LCM of Fractions is 67844334.Finally, LCM of Fractions for 9514/240, 7131/889 is 67844334.