Least Common Multiple of 76/694, 792/225, 457/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/694, 792/225, 457/580 quickly i.e. 6876936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/694, 792/225, 457/580 is 6876936.

LCM(76/694, 792/225, 457/580) = 6876936

LCM of 76/694, 792/225, 457/580

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 76/694,792/225,457/580

Given numbers are 76/694,792/225,457/580

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 76,792,457

Least Common Multiple of Numerators i.e. LCM of 76,792,457 is 6876936.

GCF of Denominators means GCF of 694,225,580 as per the given fractions.

GCF of 694,225,580 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,792,457

LCM of Fractions 76/694,792/225,457/580 is 6876936

2 76, 792, 457
2 38, 396, 457
19, 198, 457

∴ So the LCM of the given numbers is 2 x 2 x 19 x 198 x 457 = 6876936

Least Common Multiple of 76,792,457 with GCF Formula

Least Common Multiple of 76,792,457 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 76,792,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,792,457) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,792,457) x common factors =1 x 4 = 4

LCM(76,792,457) = ( 76 × 792 × 457 ) / 4

LCM(76,792,457) = 27507744 / 4

LCM(76,792,457) = 6876936


Lets's calculate GCF of 694,225,580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6876936/1

Therefore the LCM of Fractions 76/694,792/225,457/580 is 6876936

Greatest Common Factor of 694,225,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,225,580 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 694,225,580 . The biggest common factor number is the GCF number.
So the greatest common factor 694,225,580 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 76/694, 792/225, 457/580

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 76/694, 792/225, 457/580?

Answer: LCM of Numerators as per given numbers 76/694, 792/225, 457/580 is

LCM of Numerators i.e. for 76,792,457 is 6876936

GCF of denominators i.e. for 694,225,580 is 1.

Thus, LCM of Fractions is 6876936.Finally, LCM of Fractions for 76/694, 792/225, 457/580 is 6876936.