Least Common Multiple of 688/93, 952/71, 344/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/93, 952/71, 344/897 quickly i.e. 81872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/93, 952/71, 344/897 is 81872.

LCM(688/93, 952/71, 344/897) = 81872

LCM of 688/93, 952/71, 344/897

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 688/93,952/71,344/897

Given numbers are 688/93,952/71,344/897

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 688,952,344

Least Common Multiple of Numerators i.e. LCM of 688,952,344 is 81872.

GCF of Denominators means GCF of 93,71,897 as per the given fractions.

GCF of 93,71,897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,952,344

LCM of Fractions 688/93,952/71,344/897 is 81872

2 688, 952, 344
2 344, 476, 172
2 86, 238, 172
43 43, 119, 86
1, 119, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 1 x 119 x 2 = 81872

Least Common Multiple of 688,952,344 with GCF Formula

Least Common Multiple of 688,952,344 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 688,952,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,952,344) = 8

common factors(in case of two or more numbers have common factors) = 344

GCF(688,952,344) x common factors =8 x 344 = 2752

LCM(688,952,344) = ( 688 × 952 × 344 ) / 2752

LCM(688,952,344) = 225311744 / 2752

LCM(688,952,344) = 81872


Lets's calculate GCF of 93,71,897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81872/1

Therefore the LCM of Fractions 688/93,952/71,344/897 is 81872

Greatest Common Factor of 93,71,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,71,897 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 93,71,897 . The biggest common factor number is the GCF number.
So the greatest common factor 93,71,897 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 688/93, 952/71, 344/897

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 688/93, 952/71, 344/897?

Answer: LCM of Numerators as per given numbers 688/93, 952/71, 344/897 is

LCM of Numerators i.e. for 688,952,344 is 81872

GCF of denominators i.e. for 93,71,897 is 1.

Thus, LCM of Fractions is 81872.Finally, LCM of Fractions for 688/93, 952/71, 344/897 is 81872.