Least Common Multiple of 526/51, 564/82, 542/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 526/51, 564/82, 542/200 quickly i.e. 40197972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 526/51, 564/82, 542/200 is 40197972.

LCM(526/51, 564/82, 542/200) = 40197972

LCM of 526/51, 564/82, 542/200

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 526/51,564/82,542/200

Given numbers are 526/51,564/82,542/200

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 526,564,542

Least Common Multiple of Numerators i.e. LCM of 526,564,542 is 40197972.

GCF of Denominators means GCF of 51,82,200 as per the given fractions.

GCF of 51,82,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 526,564,542

LCM of Fractions 526/51,564/82,542/200 is 40197972

2 526, 564, 542
263, 282, 271

∴ So the LCM of the given numbers is 2 x 263 x 282 x 271 = 40197972

Least Common Multiple of 526,564,542 with GCF Formula

Least Common Multiple of 526,564,542 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 526,564,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,564,542) = 2

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

GCF(526,564,542) x common factors =2 x 2 = 4

LCM(526,564,542) = ( 526 × 564 × 542 ) / 4

LCM(526,564,542) = 160791888 / 4

LCM(526,564,542) = 40197972


Lets's calculate GCF of 51,82,200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40197972/1

Therefore the LCM of Fractions 526/51,564/82,542/200 is 40197972

Greatest Common Factor of 51,82,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,82,200 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 51,82,200 . The biggest common factor number is the GCF number.
So the greatest common factor 51,82,200 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 526/51, 564/82, 542/200

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 526/51, 564/82, 542/200?

Answer: LCM of Numerators as per given numbers 526/51, 564/82, 542/200 is

LCM of Numerators i.e. for 526,564,542 is 40197972

GCF of denominators i.e. for 51,82,200 is 1.

Thus, LCM of Fractions is 40197972.Finally, LCM of Fractions for 526/51, 564/82, 542/200 is 40197972.