Least Common Multiple of 87/39, 833/74, 884/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/39, 833/74, 884/144 quickly i.e. 3768492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/39, 833/74, 884/144 is 3768492.

LCM(87/39, 833/74, 884/144) = 3768492

LCM of 87/39, 833/74, 884/144

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 87/39,833/74,884/144

Given numbers are 87/39,833/74,884/144

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 87,833,884

Least Common Multiple of Numerators i.e. LCM of 87,833,884 is 3768492.

GCF of Denominators means GCF of 39,74,144 as per the given fractions.

GCF of 39,74,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,833,884

LCM of Fractions 87/39,833/74,884/144 is 3768492

17 87, 833, 884
87, 49, 52

∴ So the LCM of the given numbers is 17 x 87 x 49 x 52 = 3768492

Least Common Multiple of 87,833,884 with GCF Formula

Least Common Multiple of 87,833,884 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 87,833,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,833,884) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(87,833,884) x common factors =1 x 17 = 17

LCM(87,833,884) = ( 87 × 833 × 884 ) / 17

LCM(87,833,884) = 64064364 / 17

LCM(87,833,884) = 3768492


Lets's calculate GCF of 39,74,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3768492/1

Therefore the LCM of Fractions 87/39,833/74,884/144 is 3768492

Greatest Common Factor of 39,74,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,74,144 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 74

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

1,2,37,74

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 39,74,144 . The biggest common factor number is the GCF number.
So the greatest common factor 39,74,144 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 87/39, 833/74, 884/144

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 87/39, 833/74, 884/144?

Answer: LCM of Numerators as per given numbers 87/39, 833/74, 884/144 is

LCM of Numerators i.e. for 87,833,884 is 3768492

GCF of denominators i.e. for 39,74,144 is 1.

Thus, LCM of Fractions is 3768492.Finally, LCM of Fractions for 87/39, 833/74, 884/144 is 3768492.