Least Common Multiple of 277/48, 380/21, 163/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 277/48, 380/21, 163/578 quickly i.e. 17157380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/48, 380/21, 163/578 is 17157380.

LCM(277/48, 380/21, 163/578) = 17157380

LCM of 277/48, 380/21, 163/578

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 277/48,380/21,163/578

Given numbers are 277/48,380/21,163/578

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 277,380,163

Least Common Multiple of Numerators i.e. LCM of 277,380,163 is 17157380.

GCF of Denominators means GCF of 48,21,578 as per the given fractions.

GCF of 48,21,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,380,163

LCM of Fractions 277/48,380/21,163/578 is 17157380

Given numbers has no common factors except 1. So, there LCM is their product i.e 17157380

Least Common Multiple of 277,380,163 with GCF Formula

Least Common Multiple of 277,380,163 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 277,380,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,380,163) = 1

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

GCF(277,380,163) x common factors =1 x 1 = 1

LCM(277,380,163) = ( 277 × 380 × 163 ) / 1

LCM(277,380,163) = 17157380 / 1

LCM(277,380,163) = 17157380


Lets's calculate GCF of 48,21,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17157380/1

Therefore the LCM of Fractions 277/48,380/21,163/578 is 17157380

Greatest Common Factor of 48,21,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,21,578 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 48,21,578 . The biggest common factor number is the GCF number.
So the greatest common factor 48,21,578 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 277/48, 380/21, 163/578

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 277/48, 380/21, 163/578?

Answer: LCM of Numerators as per given numbers 277/48, 380/21, 163/578 is

LCM of Numerators i.e. for 277,380,163 is 17157380

GCF of denominators i.e. for 48,21,578 is 1.

Thus, LCM of Fractions is 17157380.Finally, LCM of Fractions for 277/48, 380/21, 163/578 is 17157380.