Least Common Multiple of 77/203, 115/60, 626/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/203, 115/60, 626/749 quickly i.e. 5543230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/203, 115/60, 626/749 is 5543230.

LCM(77/203, 115/60, 626/749) = 5543230

LCM of 77/203, 115/60, 626/749

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 77/203,115/60,626/749

Given numbers are 77/203,115/60,626/749

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 77,115,626

Least Common Multiple of Numerators i.e. LCM of 77,115,626 is 5543230.

GCF of Denominators means GCF of 203,60,749 as per the given fractions.

GCF of 203,60,749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,115,626

LCM of Fractions 77/203,115/60,626/749 is 5543230

Given numbers has no common factors except 1. So, there LCM is their product i.e 5543230

Least Common Multiple of 77,115,626 with GCF Formula

Least Common Multiple of 77,115,626 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 77,115,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,115,626) = 1

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

GCF(77,115,626) x common factors =1 x 1 = 1

LCM(77,115,626) = ( 77 × 115 × 626 ) / 1

LCM(77,115,626) = 5543230 / 1

LCM(77,115,626) = 5543230


Lets's calculate GCF of 203,60,749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5543230/1

Therefore the LCM of Fractions 77/203,115/60,626/749 is 5543230

Greatest Common Factor of 203,60,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,60,749 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 203,60,749 . The biggest common factor number is the GCF number.
So the greatest common factor 203,60,749 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 77/203, 115/60, 626/749

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 77/203, 115/60, 626/749?

Answer: LCM of Numerators as per given numbers 77/203, 115/60, 626/749 is

LCM of Numerators i.e. for 77,115,626 is 5543230

GCF of denominators i.e. for 203,60,749 is 1.

Thus, LCM of Fractions is 5543230.Finally, LCM of Fractions for 77/203, 115/60, 626/749 is 5543230.