Least Common Multiple of 88/679, 11/760, 523/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/679, 11/760, 523/511 quickly i.e. 46024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/679, 11/760, 523/511 is 46024.

LCM(88/679, 11/760, 523/511) = 46024

LCM of 88/679, 11/760, 523/511

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 88/679,11/760,523/511

Given numbers are 88/679,11/760,523/511

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 88,11,523

Least Common Multiple of Numerators i.e. LCM of 88,11,523 is 46024.

GCF of Denominators means GCF of 679,760,511 as per the given fractions.

GCF of 679,760,511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,11,523

LCM of Fractions 88/679,11/760,523/511 is 46024

11 88, 11, 523
8, 1, 523

∴ So the LCM of the given numbers is 11 x 8 x 1 x 523 = 46024

Least Common Multiple of 88,11,523 with GCF Formula

Least Common Multiple of 88,11,523 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 88,11,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,11,523) = 1

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

GCF(88,11,523) x common factors =1 x 11 = 11

LCM(88,11,523) = ( 88 × 11 × 523 ) / 11

LCM(88,11,523) = 506264 / 11

LCM(88,11,523) = 46024


Lets's calculate GCF of 679,760,511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46024/1

Therefore the LCM of Fractions 88/679,11/760,523/511 is 46024

Greatest Common Factor of 679,760,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,760,511 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 679,760,511 . The biggest common factor number is the GCF number.
So the greatest common factor 679,760,511 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 88/679, 11/760, 523/511

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 88/679, 11/760, 523/511?

Answer: LCM of Numerators as per given numbers 88/679, 11/760, 523/511 is

LCM of Numerators i.e. for 88,11,523 is 46024

GCF of denominators i.e. for 679,760,511 is 1.

Thus, LCM of Fractions is 46024.Finally, LCM of Fractions for 88/679, 11/760, 523/511 is 46024.