Least Common Multiple of 408/75, 532/1948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/75, 532/1948 quickly i.e. 54264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/75, 532/1948 is 54264.

LCM(408/75, 532/1948) = 54264

LCM of 408/75, 532/1948

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 408/75,532/1948

Given numbers are 408/75,532/1948

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 408,532

Least Common Multiple of Numerators i.e. LCM of 408,532 is 54264.

GCF of Denominators means GCF of 75,1948 as per the given fractions.

GCF of 75,1948 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,532

LCM of Fractions 408/75,532/1948 is 54264

2 408, 532
2 204, 266
102, 133

∴ So the LCM of the given numbers is 2 x 2 x 102 x 133 = 54264

Least Common Multiple of 408,532 with GCF Formula

Least Common Multiple of 408,532 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 408,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,532) = 4

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

GCF(408,532) x common factors =4 x 1 = 4

LCM(408,532) = ( 408 × 532 ) / 4

LCM(408,532) = 217056 / 4

LCM(408,532) = 54264


Lets's calculate GCF of 75,1948

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54264/1

Therefore the LCM of Fractions 408/75,532/1948 is 54264

Greatest Common Factor of 75,1948 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,1948 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 1948

List of positive integer factors of 1948 that divides 1948 without a remainder.

1,2,4,487,974,1948

Greatest Common Factor

We found the factors 75,1948 . The biggest common factor number is the GCF number.
So the greatest common factor 75,1948 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 408/75, 532/1948

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 408/75, 532/1948?

Answer: LCM of Numerators as per given numbers 408/75, 532/1948 is

LCM of Numerators i.e. for 408,532 is 54264

GCF of denominators i.e. for 75,1948 is 1.

Thus, LCM of Fractions is 54264.Finally, LCM of Fractions for 408/75, 532/1948 is 54264.