Least Common Multiple of 527/74, 500/86, 362/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 527/74, 500/86, 362/72 quickly i.e. 23846750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 527/74, 500/86, 362/72 is 23846750.

LCM(527/74, 500/86, 362/72) = 23846750

LCM of 527/74, 500/86, 362/72

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 527/74,500/86,362/72

Given numbers are 527/74,500/86,362/72

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 527,500,362

Least Common Multiple of Numerators i.e. LCM of 527,500,362 is 47693500.

GCF of Denominators means GCF of 74,86,72 as per the given fractions.

GCF of 74,86,72 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 527,500,362

LCM of Fractions 527/74,500/86,362/72 is 23846750

2 527, 500, 362
527, 250, 181

∴ So the LCM of the given numbers is 2 x 527 x 250 x 181 = 47693500

Least Common Multiple of 527,500,362 with GCF Formula

Least Common Multiple of 527,500,362 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 527,500,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,500,362) = 1

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

GCF(527,500,362) x common factors =1 x 2 = 2

LCM(527,500,362) = ( 527 × 500 × 362 ) / 2

LCM(527,500,362) = 95387000 / 2

LCM(527,500,362) = 47693500


Lets's calculate GCF of 74,86,72

2 74, 86, 72
37, 43, 36

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47693500/2

Therefore the LCM of Fractions 527/74,500/86,362/72 is 23846750

Greatest Common Factor of 74,86,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,86,72 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Greatest Common Factor

We found the factors 74,86,72 . The biggest common factor number is the GCF number.
So the greatest common factor 74,86,72 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 527/74, 500/86, 362/72

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 527/74, 500/86, 362/72?

Answer: LCM of Numerators as per given numbers 527/74, 500/86, 362/72 is

LCM of Numerators i.e. for 527,500,362 is 47693500

GCF of denominators i.e. for 74,86,72 is 2.

Thus, LCM of Fractions is 23846750.Finally, LCM of Fractions for 527/74, 500/86, 362/72 is 23846750.