Least Common Multiple of 81/76, 50/63, 70/77, 28/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/76, 50/63, 70/77, 28/897 quickly i.e. 56700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/76, 50/63, 70/77, 28/897 is 56700.

LCM(81/76, 50/63, 70/77, 28/897) = 56700

LCM of 81/76, 50/63, 70/77, 28/897

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 81/76,50/63,70/77,28/897

Given numbers are 81/76,50/63,70/77,28/897

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 81,50,70,28

Least Common Multiple of Numerators i.e. LCM of 81,50,70,28 is 56700.

GCF of Denominators means GCF of 76,63,77,897 as per the given fractions.

GCF of 76,63,77,897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,50,70,28

LCM of Fractions 81/76,50/63,70/77,28/897 is 56700

2 81, 50, 70, 28
5 81, 25, 35, 14
7 81, 5, 7, 14
81, 5, 1, 2

∴ So the LCM of the given numbers is 2 x 5 x 7 x 81 x 5 x 1 x 2 = 56700

Least Common Multiple of 81,50,70,28 with GCF Formula

Least Common Multiple of 81,50,70,28 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 81,50,70,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,50,70,28) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(81,50,70,28) x common factors =1 x 140 = 140

LCM(81,50,70,28) = ( 81 × 50 × 70 × 28 ) / 140

LCM(81,50,70,28) = 7938000 / 140

LCM(81,50,70,28) = 56700


Lets's calculate GCF of 76,63,77,897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56700/1

Therefore the LCM of Fractions 81/76,50/63,70/77,28/897 is 56700

Greatest Common Factor of 76,63,77,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,63,77,897 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

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 76,63,77,897 . The biggest common factor number is the GCF number.
So the greatest common factor 76,63,77,897 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 81/76, 50/63, 70/77, 28/897

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 81/76, 50/63, 70/77, 28/897?

Answer: LCM of Numerators as per given numbers 81/76, 50/63, 70/77, 28/897 is

LCM of Numerators i.e. for 81,50,70,28 is 56700

GCF of denominators i.e. for 76,63,77,897 is 1.

Thus, LCM of Fractions is 56700.Finally, LCM of Fractions for 81/76, 50/63, 70/77, 28/897 is 56700.