Least Common Multiple of 7714/552, 4566/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7714/552, 4566/675 quickly i.e. 5870354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7714/552, 4566/675 is 5870354.

LCM(7714/552, 4566/675) = 5870354

LCM of 7714/552, 4566/675

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 7714/552,4566/675

Given numbers are 7714/552,4566/675

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 7714,4566

Least Common Multiple of Numerators i.e. LCM of 7714,4566 is 17611062.

GCF of Denominators means GCF of 552,675 as per the given fractions.

GCF of 552,675 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7714,4566

LCM of Fractions 7714/552,4566/675 is 5870354

2 7714, 4566
3857, 2283

∴ So the LCM of the given numbers is 2 x 3857 x 2283 = 17611062

Least Common Multiple of 7714,4566 with GCF Formula

Least Common Multiple of 7714,4566 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 7714,4566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7714,4566) = 2

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

GCF(7714,4566) x common factors =2 x 1 = 2

LCM(7714,4566) = ( 7714 × 4566 ) / 2

LCM(7714,4566) = 35222124 / 2

LCM(7714,4566) = 17611062


Lets's calculate GCF of 552,675

3 552, 675
184, 225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17611062/3

Therefore the LCM of Fractions 7714/552,4566/675 is 5870354

Greatest Common Factor of 552,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,675 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 552,675 . The biggest common factor number is the GCF number.
So the greatest common factor 552,675 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 7714/552, 4566/675

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 7714/552, 4566/675?

Answer: LCM of Numerators as per given numbers 7714/552, 4566/675 is

LCM of Numerators i.e. for 7714,4566 is 17611062

GCF of denominators i.e. for 552,675 is 3.

Thus, LCM of Fractions is 5870354.Finally, LCM of Fractions for 7714/552, 4566/675 is 5870354.