Least Common Multiple of 88/728, 29/560, 407/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/728, 29/560, 407/763 quickly i.e. 94424/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/728, 29/560, 407/763 is 94424/7.

LCM(88/728, 29/560, 407/763) = 94424/7

LCM of 88/728, 29/560, 407/763

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 88/728,29/560,407/763

Given numbers are 88/728,29/560,407/763

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 88,29,407

Least Common Multiple of Numerators i.e. LCM of 88,29,407 is 94424.

GCF of Denominators means GCF of 728,560,763 as per the given fractions.

GCF of 728,560,763 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,29,407

LCM of Fractions 88/728,29/560,407/763 is 94424/7

11 88, 29, 407
8, 29, 37

∴ So the LCM of the given numbers is 11 x 8 x 29 x 37 = 94424

Least Common Multiple of 88,29,407 with GCF Formula

Least Common Multiple of 88,29,407 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 88,29,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,29,407) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(88,29,407) x common factors =1 x 11 = 11

LCM(88,29,407) = ( 88 × 29 × 407 ) / 11

LCM(88,29,407) = 1038664 / 11

LCM(88,29,407) = 94424


Lets's calculate GCF of 728,560,763

7 728, 560, 763
104, 80, 109

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94424/7

Therefore the LCM of Fractions 88/728,29/560,407/763 is 94424/7

Greatest Common Factor of 728,560,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,560,763 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 728,560,763 . The biggest common factor number is the GCF number.
So the greatest common factor 728,560,763 is 7.


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 88/728, 29/560, 407/763

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 88/728, 29/560, 407/763?

Answer: LCM of Numerators as per given numbers 88/728, 29/560, 407/763 is

LCM of Numerators i.e. for 88,29,407 is 94424

GCF of denominators i.e. for 728,560,763 is 7.

Thus, LCM of Fractions is 94424/7.Finally, LCM of Fractions for 88/728, 29/560, 407/763 is 94424/7.