Least Common Multiple of 48/544, 4206/2867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/544, 4206/2867 quickly i.e. 33648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/544, 4206/2867 is 33648.

LCM(48/544, 4206/2867) = 33648

LCM of 48/544, 4206/2867

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 48/544,4206/2867

Given numbers are 48/544,4206/2867

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 48,4206

Least Common Multiple of Numerators i.e. LCM of 48,4206 is 33648.

GCF of Denominators means GCF of 544,2867 as per the given fractions.

GCF of 544,2867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,4206

LCM of Fractions 48/544,4206/2867 is 33648

2 48, 4206
3 24, 2103
8, 701

∴ So the LCM of the given numbers is 2 x 3 x 8 x 701 = 33648

Least Common Multiple of 48,4206 with GCF Formula

Least Common Multiple of 48,4206 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 48,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,4206) = 6

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

GCF(48,4206) x common factors =6 x 1 = 6

LCM(48,4206) = ( 48 × 4206 ) / 6

LCM(48,4206) = 201888 / 6

LCM(48,4206) = 33648


Lets's calculate GCF of 544,2867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33648/1

Therefore the LCM of Fractions 48/544,4206/2867 is 33648

Greatest Common Factor of 544,2867 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,2867 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 2867

List of positive integer factors of 2867 that divides 2867 without a remainder.

1,47,61,2867

Greatest Common Factor

We found the factors 544,2867 . The biggest common factor number is the GCF number.
So the greatest common factor 544,2867 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 48/544, 4206/2867

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 48/544, 4206/2867?

Answer: LCM of Numerators as per given numbers 48/544, 4206/2867 is

LCM of Numerators i.e. for 48,4206 is 33648

GCF of denominators i.e. for 544,2867 is 1.

Thus, LCM of Fractions is 33648.Finally, LCM of Fractions for 48/544, 4206/2867 is 33648.