Least Common Multiple of 681/72, 966/70, 752/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 681/72, 966/70, 752/57 quickly i.e. 82450032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/72, 966/70, 752/57 is 82450032.

LCM(681/72, 966/70, 752/57) = 82450032

LCM of 681/72, 966/70, 752/57

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 681/72,966/70,752/57

Given numbers are 681/72,966/70,752/57

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 681,966,752

Least Common Multiple of Numerators i.e. LCM of 681,966,752 is 82450032.

GCF of Denominators means GCF of 72,70,57 as per the given fractions.

GCF of 72,70,57 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,966,752

LCM of Fractions 681/72,966/70,752/57 is 82450032

2 681, 966, 752
3 681, 483, 376
227, 161, 376

∴ So the LCM of the given numbers is 2 x 3 x 227 x 161 x 376 = 82450032

Least Common Multiple of 681,966,752 with GCF Formula

Least Common Multiple of 681,966,752 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 681,966,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,966,752) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(681,966,752) x common factors =1 x 6 = 6

LCM(681,966,752) = ( 681 × 966 × 752 ) / 6

LCM(681,966,752) = 494700192 / 6

LCM(681,966,752) = 82450032


Lets's calculate GCF of 72,70,57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82450032/1

Therefore the LCM of Fractions 681/72,966/70,752/57 is 82450032

Greatest Common Factor of 72,70,57 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,70,57 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Greatest Common Factor

We found the factors 72,70,57 . The biggest common factor number is the GCF number.
So the greatest common factor 72,70,57 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 681/72, 966/70, 752/57

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 681/72, 966/70, 752/57?

Answer: LCM of Numerators as per given numbers 681/72, 966/70, 752/57 is

LCM of Numerators i.e. for 681,966,752 is 82450032

GCF of denominators i.e. for 72,70,57 is 1.

Thus, LCM of Fractions is 82450032.Finally, LCM of Fractions for 681/72, 966/70, 752/57 is 82450032.