Least Common Multiple of 76/703, 87/369, 569/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/703, 87/369, 569/825 quickly i.e. 3762228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/703, 87/369, 569/825 is 3762228.

LCM(76/703, 87/369, 569/825) = 3762228

LCM of 76/703, 87/369, 569/825

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 76/703,87/369,569/825

Given numbers are 76/703,87/369,569/825

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 76,87,569

Least Common Multiple of Numerators i.e. LCM of 76,87,569 is 3762228.

GCF of Denominators means GCF of 703,369,825 as per the given fractions.

GCF of 703,369,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,87,569

LCM of Fractions 76/703,87/369,569/825 is 3762228

Given numbers has no common factors except 1. So, there LCM is their product i.e 3762228

Least Common Multiple of 76,87,569 with GCF Formula

Least Common Multiple of 76,87,569 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 76,87,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,87,569) = 1

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

GCF(76,87,569) x common factors =1 x 1 = 1

LCM(76,87,569) = ( 76 × 87 × 569 ) / 1

LCM(76,87,569) = 3762228 / 1

LCM(76,87,569) = 3762228


Lets's calculate GCF of 703,369,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3762228/1

Therefore the LCM of Fractions 76/703,87/369,569/825 is 3762228

Greatest Common Factor of 703,369,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,369,825 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 703,369,825 . The biggest common factor number is the GCF number.
So the greatest common factor 703,369,825 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 76/703, 87/369, 569/825

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 76/703, 87/369, 569/825?

Answer: LCM of Numerators as per given numbers 76/703, 87/369, 569/825 is

LCM of Numerators i.e. for 76,87,569 is 3762228

GCF of denominators i.e. for 703,369,825 is 1.

Thus, LCM of Fractions is 3762228.Finally, LCM of Fractions for 76/703, 87/369, 569/825 is 3762228.