Least Common Multiple of 740/730, 5152/7592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 740/730, 5152/7592 quickly i.e. 953120/146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 740/730, 5152/7592 is 953120/146.

LCM(740/730, 5152/7592) = 953120/146

LCM of 740/730, 5152/7592

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 740/730,5152/7592

Given numbers are 740/730,5152/7592

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 740,5152

Least Common Multiple of Numerators i.e. LCM of 740,5152 is 953120.

GCF of Denominators means GCF of 730,7592 as per the given fractions.

GCF of 730,7592 is 146 as it is the largest common factor for these numbers.

Lets's calculate LCM of 740,5152

LCM of Fractions 740/730,5152/7592 is 953120/146

2 740, 5152
2 370, 2576
185, 1288

∴ So the LCM of the given numbers is 2 x 2 x 185 x 1288 = 953120

Least Common Multiple of 740,5152 with GCF Formula

Least Common Multiple of 740,5152 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 740,5152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,5152) = 4

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

GCF(740,5152) x common factors =4 x 1 = 4

LCM(740,5152) = ( 740 × 5152 ) / 4

LCM(740,5152) = 3812480 / 4

LCM(740,5152) = 953120


Lets's calculate GCF of 730,7592

2 730, 7592
73 365, 3796
5, 52

∴ So the GCF of the given numbers is 2 x 73 = 146

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 953120/146

Therefore the LCM of Fractions 740/730,5152/7592 is 953120/146

Greatest Common Factor of 730,7592 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,7592 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 7592

List of positive integer factors of 7592 that divides 7592 without a remainder.

1,2,4,8,13,26,52,73,104,146,292,584,949,1898,3796,7592

Greatest Common Factor

We found the factors 730,7592 . The biggest common factor number is the GCF number.
So the greatest common factor 730,7592 is 146.


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 740/730, 5152/7592

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 740/730, 5152/7592?

Answer: LCM of Numerators as per given numbers 740/730, 5152/7592 is

LCM of Numerators i.e. for 740,5152 is 953120

GCF of denominators i.e. for 730,7592 is 146.

Thus, LCM of Fractions is 953120/146.Finally, LCM of Fractions for 740/730, 5152/7592 is 953120/146.