Least Common Multiple of 501/146, 1122/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/146, 1122/400 quickly i.e. 93687 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/146, 1122/400 is 93687.

LCM(501/146, 1122/400) = 93687

LCM of 501/146, 1122/400

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 501/146,1122/400

Given numbers are 501/146,1122/400

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 501,1122

Least Common Multiple of Numerators i.e. LCM of 501,1122 is 187374.

GCF of Denominators means GCF of 146,400 as per the given fractions.

GCF of 146,400 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,1122

LCM of Fractions 501/146,1122/400 is 93687

3 501, 1122
167, 374

∴ So the LCM of the given numbers is 3 x 167 x 374 = 187374

Least Common Multiple of 501,1122 with GCF Formula

Least Common Multiple of 501,1122 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 501,1122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,1122) = 3

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

GCF(501,1122) x common factors =3 x 1 = 3

LCM(501,1122) = ( 501 × 1122 ) / 3

LCM(501,1122) = 562122 / 3

LCM(501,1122) = 187374


Lets's calculate GCF of 146,400

2 146, 400
73, 200

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187374/2

Therefore the LCM of Fractions 501/146,1122/400 is 93687

Greatest Common Factor of 146,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,400 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 146,400 . The biggest common factor number is the GCF number.
So the greatest common factor 146,400 is 2.


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 501/146, 1122/400

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 501/146, 1122/400?

Answer: LCM of Numerators as per given numbers 501/146, 1122/400 is

LCM of Numerators i.e. for 501,1122 is 187374

GCF of denominators i.e. for 146,400 is 2.

Thus, LCM of Fractions is 93687.Finally, LCM of Fractions for 501/146, 1122/400 is 93687.