Least Common Multiple of 89/868, 719/771, 777/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/868, 719/771, 777/167 quickly i.e. 49721007 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/868, 719/771, 777/167 is 49721007.

LCM(89/868, 719/771, 777/167) = 49721007

LCM of 89/868, 719/771, 777/167

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 89/868,719/771,777/167

Given numbers are 89/868,719/771,777/167

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 89,719,777

Least Common Multiple of Numerators i.e. LCM of 89,719,777 is 49721007.

GCF of Denominators means GCF of 868,771,167 as per the given fractions.

GCF of 868,771,167 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,719,777

LCM of Fractions 89/868,719/771,777/167 is 49721007

Given numbers has no common factors except 1. So, there LCM is their product i.e 49721007

Least Common Multiple of 89,719,777 with GCF Formula

Least Common Multiple of 89,719,777 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 89,719,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,719,777) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(89,719,777) x common factors =1 x 1 = 1

LCM(89,719,777) = ( 89 × 719 × 777 ) / 1

LCM(89,719,777) = 49721007 / 1

LCM(89,719,777) = 49721007


Lets's calculate GCF of 868,771,167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49721007/1

Therefore the LCM of Fractions 89/868,719/771,777/167 is 49721007

Greatest Common Factor of 868,771,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,771,167 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 868,771,167 . The biggest common factor number is the GCF number.
So the greatest common factor 868,771,167 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 89/868, 719/771, 777/167

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 89/868, 719/771, 777/167?

Answer: LCM of Numerators as per given numbers 89/868, 719/771, 777/167 is

LCM of Numerators i.e. for 89,719,777 is 49721007

GCF of denominators i.e. for 868,771,167 is 1.

Thus, LCM of Fractions is 49721007.Finally, LCM of Fractions for 89/868, 719/771, 777/167 is 49721007.