Least Common Multiple of 654/77, 548/3279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 654/77, 548/3279 quickly i.e. 179196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 654/77, 548/3279 is 179196.

LCM(654/77, 548/3279) = 179196

LCM of 654/77, 548/3279

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 654/77,548/3279

Given numbers are 654/77,548/3279

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 654,548

Least Common Multiple of Numerators i.e. LCM of 654,548 is 179196.

GCF of Denominators means GCF of 77,3279 as per the given fractions.

GCF of 77,3279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 654,548

LCM of Fractions 654/77,548/3279 is 179196

2 654, 548
327, 274

∴ So the LCM of the given numbers is 2 x 327 x 274 = 179196

Least Common Multiple of 654,548 with GCF Formula

Least Common Multiple of 654,548 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 654,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,548) = 2

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

GCF(654,548) x common factors =2 x 1 = 2

LCM(654,548) = ( 654 × 548 ) / 2

LCM(654,548) = 358392 / 2

LCM(654,548) = 179196


Lets's calculate GCF of 77,3279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179196/1

Therefore the LCM of Fractions 654/77,548/3279 is 179196

Greatest Common Factor of 77,3279 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,3279 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 3279

List of positive integer factors of 3279 that divides 3279 without a remainder.

1,3,1093,3279

Greatest Common Factor

We found the factors 77,3279 . The biggest common factor number is the GCF number.
So the greatest common factor 77,3279 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 654/77, 548/3279

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 654/77, 548/3279?

Answer: LCM of Numerators as per given numbers 654/77, 548/3279 is

LCM of Numerators i.e. for 654,548 is 179196

GCF of denominators i.e. for 77,3279 is 1.

Thus, LCM of Fractions is 179196.Finally, LCM of Fractions for 654/77, 548/3279 is 179196.