Least Common Multiple of 271/51, 753/4776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 271/51, 753/4776 quickly i.e. 68021 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 271/51, 753/4776 is 68021.

LCM(271/51, 753/4776) = 68021

LCM of 271/51, 753/4776

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 271/51,753/4776

Given numbers are 271/51,753/4776

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 271,753

Least Common Multiple of Numerators i.e. LCM of 271,753 is 204063.

GCF of Denominators means GCF of 51,4776 as per the given fractions.

GCF of 51,4776 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 271,753

LCM of Fractions 271/51,753/4776 is 68021

Given numbers has no common factors except 1. So, there LCM is their product i.e 204063

Least Common Multiple of 271,753 with GCF Formula

Least Common Multiple of 271,753 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 271,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,753) = 1

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

GCF(271,753) x common factors =1 x 1 = 1

LCM(271,753) = ( 271 × 753 ) / 1

LCM(271,753) = 204063 / 1

LCM(271,753) = 204063


Lets's calculate GCF of 51,4776

3 51, 4776
17, 1592

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204063/3

Therefore the LCM of Fractions 271/51,753/4776 is 68021

Greatest Common Factor of 51,4776 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,4776 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 4776

List of positive integer factors of 4776 that divides 4776 without a remainder.

1,2,3,4,6,8,12,24,199,398,597,796,1194,1592,2388,4776

Greatest Common Factor

We found the factors 51,4776 . The biggest common factor number is the GCF number.
So the greatest common factor 51,4776 is 3.


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 271/51, 753/4776

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 271/51, 753/4776?

Answer: LCM of Numerators as per given numbers 271/51, 753/4776 is

LCM of Numerators i.e. for 271,753 is 204063

GCF of denominators i.e. for 51,4776 is 3.

Thus, LCM of Fractions is 68021.Finally, LCM of Fractions for 271/51, 753/4776 is 68021.