Least Common Multiple of 277/73, 746/5558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 277/73, 746/5558 quickly i.e. 206642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/73, 746/5558 is 206642.

LCM(277/73, 746/5558) = 206642

LCM of 277/73, 746/5558

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 277/73,746/5558

Given numbers are 277/73,746/5558

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 277,746

Least Common Multiple of Numerators i.e. LCM of 277,746 is 206642.

GCF of Denominators means GCF of 73,5558 as per the given fractions.

GCF of 73,5558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,746

LCM of Fractions 277/73,746/5558 is 206642

Given numbers has no common factors except 1. So, there LCM is their product i.e 206642

Least Common Multiple of 277,746 with GCF Formula

Least Common Multiple of 277,746 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 277,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,746) = 1

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

GCF(277,746) x common factors =1 x 1 = 1

LCM(277,746) = ( 277 × 746 ) / 1

LCM(277,746) = 206642 / 1

LCM(277,746) = 206642


Lets's calculate GCF of 73,5558

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206642/1

Therefore the LCM of Fractions 277/73,746/5558 is 206642

Greatest Common Factor of 73,5558 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,5558 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 5558

List of positive integer factors of 5558 that divides 5558 without a remainder.

1,2,7,14,397,794,2779,5558

Greatest Common Factor

We found the factors 73,5558 . The biggest common factor number is the GCF number.
So the greatest common factor 73,5558 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 277/73, 746/5558

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 277/73, 746/5558?

Answer: LCM of Numerators as per given numbers 277/73, 746/5558 is

LCM of Numerators i.e. for 277,746 is 206642

GCF of denominators i.e. for 73,5558 is 1.

Thus, LCM of Fractions is 206642.Finally, LCM of Fractions for 277/73, 746/5558 is 206642.