Least Common Multiple of 75/516, 748/740, 292/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/516, 748/740, 292/736 quickly i.e. 1023825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/516, 748/740, 292/736 is 1023825.

LCM(75/516, 748/740, 292/736) = 1023825

LCM of 75/516, 748/740, 292/736

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 75/516,748/740,292/736

Given numbers are 75/516,748/740,292/736

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 75,748,292

Least Common Multiple of Numerators i.e. LCM of 75,748,292 is 4095300.

GCF of Denominators means GCF of 516,740,736 as per the given fractions.

GCF of 516,740,736 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,748,292

LCM of Fractions 75/516,748/740,292/736 is 1023825

2 75, 748, 292
2 75, 374, 146
75, 187, 73

∴ So the LCM of the given numbers is 2 x 2 x 75 x 187 x 73 = 4095300

Least Common Multiple of 75,748,292 with GCF Formula

Least Common Multiple of 75,748,292 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 75,748,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,748,292) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(75,748,292) x common factors =1 x 4 = 4

LCM(75,748,292) = ( 75 × 748 × 292 ) / 4

LCM(75,748,292) = 16381200 / 4

LCM(75,748,292) = 4095300


Lets's calculate GCF of 516,740,736

2 516, 740, 736
2 258, 370, 368
129, 185, 184

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4095300/4

Therefore the LCM of Fractions 75/516,748/740,292/736 is 1023825

Greatest Common Factor of 516,740,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,740,736 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

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 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 516,740,736 . The biggest common factor number is the GCF number.
So the greatest common factor 516,740,736 is 4.


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 75/516, 748/740, 292/736

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 75/516, 748/740, 292/736?

Answer: LCM of Numerators as per given numbers 75/516, 748/740, 292/736 is

LCM of Numerators i.e. for 75,748,292 is 4095300

GCF of denominators i.e. for 516,740,736 is 4.

Thus, LCM of Fractions is 1023825.Finally, LCM of Fractions for 75/516, 748/740, 292/736 is 1023825.