Least Common Multiple of 48/11, 26/49, 55/42, 72/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/11, 26/49, 55/42, 72/354 quickly i.e. 102960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/11, 26/49, 55/42, 72/354 is 102960.

LCM(48/11, 26/49, 55/42, 72/354) = 102960

LCM of 48/11, 26/49, 55/42, 72/354

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 48/11,26/49,55/42,72/354

Given numbers are 48/11,26/49,55/42,72/354

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 48,26,55,72

Least Common Multiple of Numerators i.e. LCM of 48,26,55,72 is 102960.

GCF of Denominators means GCF of 11,49,42,354 as per the given fractions.

GCF of 11,49,42,354 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,26,55,72

LCM of Fractions 48/11,26/49,55/42,72/354 is 102960

2 48, 26, 55, 72
2 24, 13, 55, 36
2 12, 13, 55, 18
3 6, 13, 55, 9
2, 13, 55, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 13 x 55 x 3 = 102960

Least Common Multiple of 48,26,55,72 with GCF Formula

Least Common Multiple of 48,26,55,72 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 48,26,55,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,26,55,72) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(48,26,55,72) x common factors =1 x 48 = 48

LCM(48,26,55,72) = ( 48 × 26 × 55 × 72 ) / 48

LCM(48,26,55,72) = 4942080 / 48

LCM(48,26,55,72) = 102960


Lets's calculate GCF of 11,49,42,354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102960/1

Therefore the LCM of Fractions 48/11,26/49,55/42,72/354 is 102960

Greatest Common Factor of 11,49,42,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,49,42,354 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 11,49,42,354 . The biggest common factor number is the GCF number.
So the greatest common factor 11,49,42,354 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 48/11, 26/49, 55/42, 72/354

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 48/11, 26/49, 55/42, 72/354?

Answer: LCM of Numerators as per given numbers 48/11, 26/49, 55/42, 72/354 is

LCM of Numerators i.e. for 48,26,55,72 is 102960

GCF of denominators i.e. for 11,49,42,354 is 1.

Thus, LCM of Fractions is 102960.Finally, LCM of Fractions for 48/11, 26/49, 55/42, 72/354 is 102960.