Least Common Multiple of 88/752, 790/452, 911/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/752, 790/452, 911/564 quickly i.e. 7916590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/752, 790/452, 911/564 is 7916590.

LCM(88/752, 790/452, 911/564) = 7916590

LCM of 88/752, 790/452, 911/564

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 88/752,790/452,911/564

Given numbers are 88/752,790/452,911/564

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 88,790,911

Least Common Multiple of Numerators i.e. LCM of 88,790,911 is 31666360.

GCF of Denominators means GCF of 752,452,564 as per the given fractions.

GCF of 752,452,564 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,790,911

LCM of Fractions 88/752,790/452,911/564 is 7916590

2 88, 790, 911
44, 395, 911

∴ So the LCM of the given numbers is 2 x 44 x 395 x 911 = 31666360

Least Common Multiple of 88,790,911 with GCF Formula

Least Common Multiple of 88,790,911 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 88,790,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,790,911) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(88,790,911) x common factors =1 x 2 = 2

LCM(88,790,911) = ( 88 × 790 × 911 ) / 2

LCM(88,790,911) = 63332720 / 2

LCM(88,790,911) = 31666360


Lets's calculate GCF of 752,452,564

2 752, 452, 564
2 376, 226, 282
188, 113, 141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31666360/4

Therefore the LCM of Fractions 88/752,790/452,911/564 is 7916590

Greatest Common Factor of 752,452,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,452,564 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 752,452,564 . The biggest common factor number is the GCF number.
So the greatest common factor 752,452,564 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 88/752, 790/452, 911/564

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 88/752, 790/452, 911/564?

Answer: LCM of Numerators as per given numbers 88/752, 790/452, 911/564 is

LCM of Numerators i.e. for 88,790,911 is 31666360

GCF of denominators i.e. for 752,452,564 is 4.

Thus, LCM of Fractions is 7916590.Finally, LCM of Fractions for 88/752, 790/452, 911/564 is 7916590.