Least Common Multiple of 76/712, 40/857, 661/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/712, 40/857, 661/792 quickly i.e. 502360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/712, 40/857, 661/792 is 502360.

LCM(76/712, 40/857, 661/792) = 502360

LCM of 76/712, 40/857, 661/792

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 76/712,40/857,661/792

Given numbers are 76/712,40/857,661/792

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 76,40,661

Least Common Multiple of Numerators i.e. LCM of 76,40,661 is 502360.

GCF of Denominators means GCF of 712,857,792 as per the given fractions.

GCF of 712,857,792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,40,661

LCM of Fractions 76/712,40/857,661/792 is 502360

2 76, 40, 661
2 38, 20, 661
19, 10, 661

∴ So the LCM of the given numbers is 2 x 2 x 19 x 10 x 661 = 502360

Least Common Multiple of 76,40,661 with GCF Formula

Least Common Multiple of 76,40,661 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 76,40,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,40,661) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,40,661) x common factors =1 x 4 = 4

LCM(76,40,661) = ( 76 × 40 × 661 ) / 4

LCM(76,40,661) = 2009440 / 4

LCM(76,40,661) = 502360


Lets's calculate GCF of 712,857,792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 502360/1

Therefore the LCM of Fractions 76/712,40/857,661/792 is 502360

Greatest Common Factor of 712,857,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,857,792 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 712,857,792 . The biggest common factor number is the GCF number.
So the greatest common factor 712,857,792 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 76/712, 40/857, 661/792

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 76/712, 40/857, 661/792?

Answer: LCM of Numerators as per given numbers 76/712, 40/857, 661/792 is

LCM of Numerators i.e. for 76,40,661 is 502360

GCF of denominators i.e. for 712,857,792 is 1.

Thus, LCM of Fractions is 502360.Finally, LCM of Fractions for 76/712, 40/857, 661/792 is 502360.