Least Common Multiple of 648/873, 2676/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/873, 2676/417 quickly i.e. 48168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/873, 2676/417 is 48168.

LCM(648/873, 2676/417) = 48168

LCM of 648/873, 2676/417

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 648/873,2676/417

Given numbers are 648/873,2676/417

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 648,2676

Least Common Multiple of Numerators i.e. LCM of 648,2676 is 144504.

GCF of Denominators means GCF of 873,417 as per the given fractions.

GCF of 873,417 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,2676

LCM of Fractions 648/873,2676/417 is 48168

2 648, 2676
2 324, 1338
3 162, 669
54, 223

∴ So the LCM of the given numbers is 2 x 2 x 3 x 54 x 223 = 144504

Least Common Multiple of 648,2676 with GCF Formula

Least Common Multiple of 648,2676 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 648,2676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,2676) = 12

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

GCF(648,2676) x common factors =12 x 1 = 12

LCM(648,2676) = ( 648 × 2676 ) / 12

LCM(648,2676) = 1734048 / 12

LCM(648,2676) = 144504


Lets's calculate GCF of 873,417

3 873, 417
291, 139

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144504/3

Therefore the LCM of Fractions 648/873,2676/417 is 48168

Greatest Common Factor of 873,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,417 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 873,417 . The biggest common factor number is the GCF number.
So the greatest common factor 873,417 is 3.


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 648/873, 2676/417

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 648/873, 2676/417?

Answer: LCM of Numerators as per given numbers 648/873, 2676/417 is

LCM of Numerators i.e. for 648,2676 is 144504

GCF of denominators i.e. for 873,417 is 3.

Thus, LCM of Fractions is 48168.Finally, LCM of Fractions for 648/873, 2676/417 is 48168.