Least Common Multiple of 52/592, 402/800, 878/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/592, 402/800, 878/274 quickly i.e. 2294214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/592, 402/800, 878/274 is 2294214.

LCM(52/592, 402/800, 878/274) = 2294214

LCM of 52/592, 402/800, 878/274

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 52/592,402/800,878/274

Given numbers are 52/592,402/800,878/274

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 52,402,878

Least Common Multiple of Numerators i.e. LCM of 52,402,878 is 4588428.

GCF of Denominators means GCF of 592,800,274 as per the given fractions.

GCF of 592,800,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,402,878

LCM of Fractions 52/592,402/800,878/274 is 2294214

2 52, 402, 878
26, 201, 439

∴ So the LCM of the given numbers is 2 x 26 x 201 x 439 = 4588428

Least Common Multiple of 52,402,878 with GCF Formula

Least Common Multiple of 52,402,878 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 52,402,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,402,878) = 2

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

GCF(52,402,878) x common factors =2 x 2 = 4

LCM(52,402,878) = ( 52 × 402 × 878 ) / 4

LCM(52,402,878) = 18353712 / 4

LCM(52,402,878) = 4588428


Lets's calculate GCF of 592,800,274

2 592, 800, 274
296, 400, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4588428/2

Therefore the LCM of Fractions 52/592,402/800,878/274 is 2294214

Greatest Common Factor of 592,800,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,800,274 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 592,800,274 . The biggest common factor number is the GCF number.
So the greatest common factor 592,800,274 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 52/592, 402/800, 878/274

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 52/592, 402/800, 878/274?

Answer: LCM of Numerators as per given numbers 52/592, 402/800, 878/274 is

LCM of Numerators i.e. for 52,402,878 is 4588428

GCF of denominators i.e. for 592,800,274 is 2.

Thus, LCM of Fractions is 2294214.Finally, LCM of Fractions for 52/592, 402/800, 878/274 is 2294214.