Least Common Multiple of 31/443, 21/252, 146/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/443, 21/252, 146/505 quickly i.e. 95046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/443, 21/252, 146/505 is 95046.

LCM(31/443, 21/252, 146/505) = 95046

LCM of 31/443, 21/252, 146/505

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 31/443,21/252,146/505

Given numbers are 31/443,21/252,146/505

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 31,21,146

Least Common Multiple of Numerators i.e. LCM of 31,21,146 is 95046.

GCF of Denominators means GCF of 443,252,505 as per the given fractions.

GCF of 443,252,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,21,146

LCM of Fractions 31/443,21/252,146/505 is 95046

Given numbers has no common factors except 1. So, there LCM is their product i.e 95046

Least Common Multiple of 31,21,146 with GCF Formula

Least Common Multiple of 31,21,146 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 31,21,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,21,146) = 1

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

GCF(31,21,146) x common factors =1 x 1 = 1

LCM(31,21,146) = ( 31 × 21 × 146 ) / 1

LCM(31,21,146) = 95046 / 1

LCM(31,21,146) = 95046


Lets's calculate GCF of 443,252,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95046/1

Therefore the LCM of Fractions 31/443,21/252,146/505 is 95046

Greatest Common Factor of 443,252,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,252,505 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

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 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 443,252,505 . The biggest common factor number is the GCF number.
So the greatest common factor 443,252,505 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 31/443, 21/252, 146/505

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 31/443, 21/252, 146/505?

Answer: LCM of Numerators as per given numbers 31/443, 21/252, 146/505 is

LCM of Numerators i.e. for 31,21,146 is 95046

GCF of denominators i.e. for 443,252,505 is 1.

Thus, LCM of Fractions is 95046.Finally, LCM of Fractions for 31/443, 21/252, 146/505 is 95046.