Least Common Multiple of 95/728, 300/867, 136/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/728, 300/867, 136/676 quickly i.e. 193800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/728, 300/867, 136/676 is 193800.

LCM(95/728, 300/867, 136/676) = 193800

LCM of 95/728, 300/867, 136/676

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 95/728,300/867,136/676

Given numbers are 95/728,300/867,136/676

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 95,300,136

Least Common Multiple of Numerators i.e. LCM of 95,300,136 is 193800.

GCF of Denominators means GCF of 728,867,676 as per the given fractions.

GCF of 728,867,676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,300,136

LCM of Fractions 95/728,300/867,136/676 is 193800

2 95, 300, 136
2 95, 150, 68
5 95, 75, 34
19, 15, 34

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 15 x 34 = 193800

Least Common Multiple of 95,300,136 with GCF Formula

Least Common Multiple of 95,300,136 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 95,300,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,300,136) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(95,300,136) x common factors =1 x 20 = 20

LCM(95,300,136) = ( 95 × 300 × 136 ) / 20

LCM(95,300,136) = 3876000 / 20

LCM(95,300,136) = 193800


Lets's calculate GCF of 728,867,676

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193800/1

Therefore the LCM of Fractions 95/728,300/867,136/676 is 193800

Greatest Common Factor of 728,867,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,867,676 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 728,867,676 . The biggest common factor number is the GCF number.
So the greatest common factor 728,867,676 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 95/728, 300/867, 136/676

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 95/728, 300/867, 136/676?

Answer: LCM of Numerators as per given numbers 95/728, 300/867, 136/676 is

LCM of Numerators i.e. for 95,300,136 is 193800

GCF of denominators i.e. for 728,867,676 is 1.

Thus, LCM of Fractions is 193800.Finally, LCM of Fractions for 95/728, 300/867, 136/676 is 193800.