Least Common Multiple of 812/56, 760/99, 532/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 812/56, 760/99, 532/685 quickly i.e. 154280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 812/56, 760/99, 532/685 is 154280.

LCM(812/56, 760/99, 532/685) = 154280

LCM of 812/56, 760/99, 532/685

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 812/56,760/99,532/685

Given numbers are 812/56,760/99,532/685

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 812,760,532

Least Common Multiple of Numerators i.e. LCM of 812,760,532 is 154280.

GCF of Denominators means GCF of 56,99,685 as per the given fractions.

GCF of 56,99,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 812,760,532

LCM of Fractions 812/56,760/99,532/685 is 154280

2 812, 760, 532
2 406, 380, 266
7 203, 190, 133
19 29, 190, 19
29, 10, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 29 x 10 x 1 = 154280

Least Common Multiple of 812,760,532 with GCF Formula

Least Common Multiple of 812,760,532 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 812,760,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,760,532) = 4

common factors(in case of two or more numbers have common factors) = 532

GCF(812,760,532) x common factors =4 x 532 = 2128

LCM(812,760,532) = ( 812 × 760 × 532 ) / 2128

LCM(812,760,532) = 328307840 / 2128

LCM(812,760,532) = 154280


Lets's calculate GCF of 56,99,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154280/1

Therefore the LCM of Fractions 812/56,760/99,532/685 is 154280

Greatest Common Factor of 56,99,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,99,685 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 56,99,685 . The biggest common factor number is the GCF number.
So the greatest common factor 56,99,685 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 812/56, 760/99, 532/685

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 812/56, 760/99, 532/685?

Answer: LCM of Numerators as per given numbers 812/56, 760/99, 532/685 is

LCM of Numerators i.e. for 812,760,532 is 154280

GCF of denominators i.e. for 56,99,685 is 1.

Thus, LCM of Fractions is 154280.Finally, LCM of Fractions for 812/56, 760/99, 532/685 is 154280.