Least Common Multiple of 5208/611, 7140/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5208/611, 7140/612 quickly i.e. 442680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5208/611, 7140/612 is 442680.

LCM(5208/611, 7140/612) = 442680

LCM of 5208/611, 7140/612

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 5208/611,7140/612

Given numbers are 5208/611,7140/612

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 5208,7140

Least Common Multiple of Numerators i.e. LCM of 5208,7140 is 442680.

GCF of Denominators means GCF of 611,612 as per the given fractions.

GCF of 611,612 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5208,7140

LCM of Fractions 5208/611,7140/612 is 442680

2 5208, 7140
2 2604, 3570
3 1302, 1785
7 434, 595
62, 85

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 62 x 85 = 442680

Least Common Multiple of 5208,7140 with GCF Formula

Least Common Multiple of 5208,7140 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 5208,7140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5208,7140) = 84

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

GCF(5208,7140) x common factors =84 x 1 = 84

LCM(5208,7140) = ( 5208 × 7140 ) / 84

LCM(5208,7140) = 37185120 / 84

LCM(5208,7140) = 442680


Lets's calculate GCF of 611,612

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442680/1

Therefore the LCM of Fractions 5208/611,7140/612 is 442680

Greatest Common Factor of 611,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,612 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 611,612 . The biggest common factor number is the GCF number.
So the greatest common factor 611,612 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 5208/611, 7140/612

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 5208/611, 7140/612?

Answer: LCM of Numerators as per given numbers 5208/611, 7140/612 is

LCM of Numerators i.e. for 5208,7140 is 442680

GCF of denominators i.e. for 611,612 is 1.

Thus, LCM of Fractions is 442680.Finally, LCM of Fractions for 5208/611, 7140/612 is 442680.