Least Common Multiple of 76/570, 442/836, 801/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/570, 442/836, 801/552 quickly i.e. 6726798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/570, 442/836, 801/552 is 6726798.

LCM(76/570, 442/836, 801/552) = 6726798

LCM of 76/570, 442/836, 801/552

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 76/570,442/836,801/552

Given numbers are 76/570,442/836,801/552

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 76,442,801

Least Common Multiple of Numerators i.e. LCM of 76,442,801 is 13453596.

GCF of Denominators means GCF of 570,836,552 as per the given fractions.

GCF of 570,836,552 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,442,801

LCM of Fractions 76/570,442/836,801/552 is 6726798

2 76, 442, 801
38, 221, 801

∴ So the LCM of the given numbers is 2 x 38 x 221 x 801 = 13453596

Least Common Multiple of 76,442,801 with GCF Formula

Least Common Multiple of 76,442,801 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 76,442,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,442,801) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,442,801) x common factors =1 x 2 = 2

LCM(76,442,801) = ( 76 × 442 × 801 ) / 2

LCM(76,442,801) = 26907192 / 2

LCM(76,442,801) = 13453596


Lets's calculate GCF of 570,836,552

2 570, 836, 552
285, 418, 276

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13453596/2

Therefore the LCM of Fractions 76/570,442/836,801/552 is 6726798

Greatest Common Factor of 570,836,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,836,552 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

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

Greatest Common Factor

We found the factors 570,836,552 . The biggest common factor number is the GCF number.
So the greatest common factor 570,836,552 is 2.


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 76/570, 442/836, 801/552

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 76/570, 442/836, 801/552?

Answer: LCM of Numerators as per given numbers 76/570, 442/836, 801/552 is

LCM of Numerators i.e. for 76,442,801 is 13453596

GCF of denominators i.e. for 570,836,552 is 2.

Thus, LCM of Fractions is 6726798.Finally, LCM of Fractions for 76/570, 442/836, 801/552 is 6726798.