Least Common Multiple of 450/252, 5931/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/252, 5931/750 quickly i.e. 49425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/252, 5931/750 is 49425.

LCM(450/252, 5931/750) = 49425

LCM of 450/252, 5931/750

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 450/252,5931/750

Given numbers are 450/252,5931/750

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 450,5931

Least Common Multiple of Numerators i.e. LCM of 450,5931 is 296550.

GCF of Denominators means GCF of 252,750 as per the given fractions.

GCF of 252,750 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,5931

LCM of Fractions 450/252,5931/750 is 49425

3 450, 5931
3 150, 1977
50, 659

∴ So the LCM of the given numbers is 3 x 3 x 50 x 659 = 296550

Least Common Multiple of 450,5931 with GCF Formula

Least Common Multiple of 450,5931 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 450,5931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,5931) = 9

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

GCF(450,5931) x common factors =9 x 1 = 9

LCM(450,5931) = ( 450 × 5931 ) / 9

LCM(450,5931) = 2668950 / 9

LCM(450,5931) = 296550


Lets's calculate GCF of 252,750

2 252, 750
3 126, 375
42, 125

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296550/6

Therefore the LCM of Fractions 450/252,5931/750 is 49425

Greatest Common Factor of 252,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,750 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 252,750 . The biggest common factor number is the GCF number.
So the greatest common factor 252,750 is 6.


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 450/252, 5931/750

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 450/252, 5931/750?

Answer: LCM of Numerators as per given numbers 450/252, 5931/750 is

LCM of Numerators i.e. for 450,5931 is 296550

GCF of denominators i.e. for 252,750 is 6.

Thus, LCM of Fractions is 49425.Finally, LCM of Fractions for 450/252, 5931/750 is 49425.