Least Common Multiple of 48/522, 41/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/522, 41/348 quickly i.e. 1968/174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/522, 41/348 is 1968/174.

LCM(48/522, 41/348) = 1968/174

LCM of 48/522, 41/348

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 48/522,41/348

Given numbers are 48/522,41/348

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 48,41

Least Common Multiple of Numerators i.e. LCM of 48,41 is 1968.

GCF of Denominators means GCF of 522,348 as per the given fractions.

GCF of 522,348 is 174 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,41

LCM of Fractions 48/522,41/348 is 1968/174

Given numbers has no common factors except 1. So, there LCM is their product i.e 1968

Least Common Multiple of 48,41 with GCF Formula

Least Common Multiple of 48,41 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 48,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,41) = 1

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

GCF(48,41) x common factors =1 x 1 = 1

LCM(48,41) = ( 48 × 41 ) / 1

LCM(48,41) = 1968 / 1

LCM(48,41) = 1968


Lets's calculate GCF of 522,348

2 522, 348
3 261, 174
29 87, 58
3, 2

∴ So the GCF of the given numbers is 2 x 3 x 29 = 174

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1968/174

Therefore the LCM of Fractions 48/522,41/348 is 1968/174

Greatest Common Factor of 522,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,348 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 522,348 . The biggest common factor number is the GCF number.
So the greatest common factor 522,348 is 174.


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 48/522, 41/348

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 48/522, 41/348?

Answer: LCM of Numerators as per given numbers 48/522, 41/348 is

LCM of Numerators i.e. for 48,41 is 1968

GCF of denominators i.e. for 522,348 is 174.

Thus, LCM of Fractions is 1968/174.Finally, LCM of Fractions for 48/522, 41/348 is 1968/174.