Least Common Multiple of 922/740, 5514/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 922/740, 5514/720 quickly i.e. 2541954/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 922/740, 5514/720 is 2541954/20.

LCM(922/740, 5514/720) = 2541954/20

LCM of 922/740, 5514/720

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 922/740,5514/720

Given numbers are 922/740,5514/720

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 922,5514

Least Common Multiple of Numerators i.e. LCM of 922,5514 is 2541954.

GCF of Denominators means GCF of 740,720 as per the given fractions.

GCF of 740,720 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 922,5514

LCM of Fractions 922/740,5514/720 is 2541954/20

2 922, 5514
461, 2757

∴ So the LCM of the given numbers is 2 x 461 x 2757 = 2541954

Least Common Multiple of 922,5514 with GCF Formula

Least Common Multiple of 922,5514 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 922,5514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,5514) = 2

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

GCF(922,5514) x common factors =2 x 1 = 2

LCM(922,5514) = ( 922 × 5514 ) / 2

LCM(922,5514) = 5083908 / 2

LCM(922,5514) = 2541954


Lets's calculate GCF of 740,720

2 740, 720
2 370, 360
5 185, 180
37, 36

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2541954/20

Therefore the LCM of Fractions 922/740,5514/720 is 2541954/20

Greatest Common Factor of 740,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,720 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 740,720 . The biggest common factor number is the GCF number.
So the greatest common factor 740,720 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 922/740, 5514/720

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 922/740, 5514/720?

Answer: LCM of Numerators as per given numbers 922/740, 5514/720 is

LCM of Numerators i.e. for 922,5514 is 2541954

GCF of denominators i.e. for 740,720 is 20.

Thus, LCM of Fractions is 2541954/20.Finally, LCM of Fractions for 922/740, 5514/720 is 2541954/20.