Least Common Multiple of 882/70, 344/10, 764/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/70, 344/10, 764/81 quickly i.e. 28975464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/70, 344/10, 764/81 is 28975464.

LCM(882/70, 344/10, 764/81) = 28975464

LCM of 882/70, 344/10, 764/81

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 882/70,344/10,764/81

Given numbers are 882/70,344/10,764/81

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 882,344,764

Least Common Multiple of Numerators i.e. LCM of 882,344,764 is 28975464.

GCF of Denominators means GCF of 70,10,81 as per the given fractions.

GCF of 70,10,81 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,344,764

LCM of Fractions 882/70,344/10,764/81 is 28975464

2 882, 344, 764
2 441, 172, 382
441, 86, 191

∴ So the LCM of the given numbers is 2 x 2 x 441 x 86 x 191 = 28975464

Least Common Multiple of 882,344,764 with GCF Formula

Least Common Multiple of 882,344,764 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 882,344,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,344,764) = 2

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

GCF(882,344,764) x common factors =2 x 4 = 8

LCM(882,344,764) = ( 882 × 344 × 764 ) / 8

LCM(882,344,764) = 231803712 / 8

LCM(882,344,764) = 28975464


Lets's calculate GCF of 70,10,81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28975464/1

Therefore the LCM of Fractions 882/70,344/10,764/81 is 28975464

Greatest Common Factor of 70,10,81 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,10,81 By Matching Biggest Common Factor Method

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 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Greatest Common Factor

We found the factors 70,10,81 . The biggest common factor number is the GCF number.
So the greatest common factor 70,10,81 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 882/70, 344/10, 764/81

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 882/70, 344/10, 764/81?

Answer: LCM of Numerators as per given numbers 882/70, 344/10, 764/81 is

LCM of Numerators i.e. for 882,344,764 is 28975464

GCF of denominators i.e. for 70,10,81 is 1.

Thus, LCM of Fractions is 28975464.Finally, LCM of Fractions for 882/70, 344/10, 764/81 is 28975464.