Least Common Multiple of 7240/707, 5470/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7240/707, 5470/204 quickly i.e. 3960280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7240/707, 5470/204 is 3960280.

LCM(7240/707, 5470/204) = 3960280

LCM of 7240/707, 5470/204

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 7240/707,5470/204

Given numbers are 7240/707,5470/204

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 7240,5470

Least Common Multiple of Numerators i.e. LCM of 7240,5470 is 3960280.

GCF of Denominators means GCF of 707,204 as per the given fractions.

GCF of 707,204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7240,5470

LCM of Fractions 7240/707,5470/204 is 3960280

2 7240, 5470
5 3620, 2735
724, 547

∴ So the LCM of the given numbers is 2 x 5 x 724 x 547 = 3960280

Least Common Multiple of 7240,5470 with GCF Formula

Least Common Multiple of 7240,5470 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 7240,5470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7240,5470) = 10

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

GCF(7240,5470) x common factors =10 x 1 = 10

LCM(7240,5470) = ( 7240 × 5470 ) / 10

LCM(7240,5470) = 39602800 / 10

LCM(7240,5470) = 3960280


Lets's calculate GCF of 707,204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3960280/1

Therefore the LCM of Fractions 7240/707,5470/204 is 3960280

Greatest Common Factor of 707,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,204 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 707,204 . The biggest common factor number is the GCF number.
So the greatest common factor 707,204 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 7240/707, 5470/204

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 7240/707, 5470/204?

Answer: LCM of Numerators as per given numbers 7240/707, 5470/204 is

LCM of Numerators i.e. for 7240,5470 is 3960280

GCF of denominators i.e. for 707,204 is 1.

Thus, LCM of Fractions is 3960280.Finally, LCM of Fractions for 7240/707, 5470/204 is 3960280.