Least Common Multiple of 542/800, 2546/5852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/800, 2546/5852 quickly i.e. 689966/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/800, 2546/5852 is 689966/4.

LCM(542/800, 2546/5852) = 689966/4

LCM of 542/800, 2546/5852

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 542/800,2546/5852

Given numbers are 542/800,2546/5852

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 542,2546

Least Common Multiple of Numerators i.e. LCM of 542,2546 is 689966.

GCF of Denominators means GCF of 800,5852 as per the given fractions.

GCF of 800,5852 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,2546

LCM of Fractions 542/800,2546/5852 is 689966/4

2 542, 2546
271, 1273

∴ So the LCM of the given numbers is 2 x 271 x 1273 = 689966

Least Common Multiple of 542,2546 with GCF Formula

Least Common Multiple of 542,2546 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 542,2546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,2546) = 2

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

GCF(542,2546) x common factors =2 x 1 = 2

LCM(542,2546) = ( 542 × 2546 ) / 2

LCM(542,2546) = 1379932 / 2

LCM(542,2546) = 689966


Lets's calculate GCF of 800,5852

2 800, 5852
2 400, 2926
200, 1463

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 689966/4

Therefore the LCM of Fractions 542/800,2546/5852 is 689966/4

Greatest Common Factor of 800,5852 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,5852 By Matching Biggest Common Factor Method

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 5852

List of positive integer factors of 5852 that divides 5852 without a remainder.

1,2,4,7,11,14,19,22,28,38,44,76,77,133,154,209,266,308,418,532,836,1463,2926,5852

Greatest Common Factor

We found the factors 800,5852 . The biggest common factor number is the GCF number.
So the greatest common factor 800,5852 is 4.


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 542/800, 2546/5852

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 542/800, 2546/5852?

Answer: LCM of Numerators as per given numbers 542/800, 2546/5852 is

LCM of Numerators i.e. for 542,2546 is 689966

GCF of denominators i.e. for 800,5852 is 4.

Thus, LCM of Fractions is 689966/4.Finally, LCM of Fractions for 542/800, 2546/5852 is 689966/4.