Least Common Multiple of 101/410, 4853/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 101/410, 4853/743 quickly i.e. 490153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 101/410, 4853/743 is 490153.

LCM(101/410, 4853/743) = 490153

LCM of 101/410, 4853/743

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 101/410,4853/743

Given numbers are 101/410,4853/743

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 101,4853

Least Common Multiple of Numerators i.e. LCM of 101,4853 is 490153.

GCF of Denominators means GCF of 410,743 as per the given fractions.

GCF of 410,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 101,4853

LCM of Fractions 101/410,4853/743 is 490153

Given numbers has no common factors except 1. So, there LCM is their product i.e 490153

Least Common Multiple of 101,4853 with GCF Formula

Least Common Multiple of 101,4853 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 101,4853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,4853) = 1

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

GCF(101,4853) x common factors =1 x 1 = 1

LCM(101,4853) = ( 101 × 4853 ) / 1

LCM(101,4853) = 490153 / 1

LCM(101,4853) = 490153


Lets's calculate GCF of 410,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 490153/1

Therefore the LCM of Fractions 101/410,4853/743 is 490153

Greatest Common Factor of 410,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,743 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 410,743 . The biggest common factor number is the GCF number.
So the greatest common factor 410,743 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 101/410, 4853/743

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 101/410, 4853/743?

Answer: LCM of Numerators as per given numbers 101/410, 4853/743 is

LCM of Numerators i.e. for 101,4853 is 490153

GCF of denominators i.e. for 410,743 is 1.

Thus, LCM of Fractions is 490153.Finally, LCM of Fractions for 101/410, 4853/743 is 490153.