Least Common Multiple of 36/992, 75/352, 827/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/992, 75/352, 827/876 quickly i.e. 186075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/992, 75/352, 827/876 is 186075.

LCM(36/992, 75/352, 827/876) = 186075

LCM of 36/992, 75/352, 827/876

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 36/992,75/352,827/876

Given numbers are 36/992,75/352,827/876

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 36,75,827

Least Common Multiple of Numerators i.e. LCM of 36,75,827 is 744300.

GCF of Denominators means GCF of 992,352,876 as per the given fractions.

GCF of 992,352,876 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,75,827

LCM of Fractions 36/992,75/352,827/876 is 186075

3 36, 75, 827
12, 25, 827

∴ So the LCM of the given numbers is 3 x 12 x 25 x 827 = 744300

Least Common Multiple of 36,75,827 with GCF Formula

Least Common Multiple of 36,75,827 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 36,75,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,75,827) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(36,75,827) x common factors =1 x 3 = 3

LCM(36,75,827) = ( 36 × 75 × 827 ) / 3

LCM(36,75,827) = 2232900 / 3

LCM(36,75,827) = 744300


Lets's calculate GCF of 992,352,876

2 992, 352, 876
2 496, 176, 438
248, 88, 219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 744300/4

Therefore the LCM of Fractions 36/992,75/352,827/876 is 186075

Greatest Common Factor of 992,352,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,352,876 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 992,352,876 . The biggest common factor number is the GCF number.
So the greatest common factor 992,352,876 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 36/992, 75/352, 827/876

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 36/992, 75/352, 827/876?

Answer: LCM of Numerators as per given numbers 36/992, 75/352, 827/876 is

LCM of Numerators i.e. for 36,75,827 is 744300

GCF of denominators i.e. for 992,352,876 is 4.

Thus, LCM of Fractions is 186075.Finally, LCM of Fractions for 36/992, 75/352, 827/876 is 186075.