Least Common Multiple of 76/100, 51/909, 616/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/100, 51/909, 616/122 quickly i.e. 596904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/100, 51/909, 616/122 is 596904.

LCM(76/100, 51/909, 616/122) = 596904

LCM of 76/100, 51/909, 616/122

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 76/100,51/909,616/122

Given numbers are 76/100,51/909,616/122

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 76,51,616

Least Common Multiple of Numerators i.e. LCM of 76,51,616 is 596904.

GCF of Denominators means GCF of 100,909,122 as per the given fractions.

GCF of 100,909,122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,51,616

LCM of Fractions 76/100,51/909,616/122 is 596904

2 76, 51, 616
2 38, 51, 308
19, 51, 154

∴ So the LCM of the given numbers is 2 x 2 x 19 x 51 x 154 = 596904

Least Common Multiple of 76,51,616 with GCF Formula

Least Common Multiple of 76,51,616 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 76,51,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,51,616) = 1

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

GCF(76,51,616) x common factors =1 x 4 = 4

LCM(76,51,616) = ( 76 × 51 × 616 ) / 4

LCM(76,51,616) = 2387616 / 4

LCM(76,51,616) = 596904


Lets's calculate GCF of 100,909,122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 596904/1

Therefore the LCM of Fractions 76/100,51/909,616/122 is 596904

Greatest Common Factor of 100,909,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,909,122 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 100,909,122 . The biggest common factor number is the GCF number.
So the greatest common factor 100,909,122 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 76/100, 51/909, 616/122

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 76/100, 51/909, 616/122?

Answer: LCM of Numerators as per given numbers 76/100, 51/909, 616/122 is

LCM of Numerators i.e. for 76,51,616 is 596904

GCF of denominators i.e. for 100,909,122 is 1.

Thus, LCM of Fractions is 596904.Finally, LCM of Fractions for 76/100, 51/909, 616/122 is 596904.