Least Common Multiple of 87/893, 88/852, 333/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/893, 88/852, 333/859 quickly i.e. 849816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/893, 88/852, 333/859 is 849816.

LCM(87/893, 88/852, 333/859) = 849816

LCM of 87/893, 88/852, 333/859

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 87/893,88/852,333/859

Given numbers are 87/893,88/852,333/859

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 87,88,333

Least Common Multiple of Numerators i.e. LCM of 87,88,333 is 849816.

GCF of Denominators means GCF of 893,852,859 as per the given fractions.

GCF of 893,852,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,88,333

LCM of Fractions 87/893,88/852,333/859 is 849816

3 87, 88, 333
29, 88, 111

∴ So the LCM of the given numbers is 3 x 29 x 88 x 111 = 849816

Least Common Multiple of 87,88,333 with GCF Formula

Least Common Multiple of 87,88,333 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 87,88,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,88,333) = 1

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

GCF(87,88,333) x common factors =1 x 3 = 3

LCM(87,88,333) = ( 87 × 88 × 333 ) / 3

LCM(87,88,333) = 2549448 / 3

LCM(87,88,333) = 849816


Lets's calculate GCF of 893,852,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 849816/1

Therefore the LCM of Fractions 87/893,88/852,333/859 is 849816

Greatest Common Factor of 893,852,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,852,859 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 893,852,859 . The biggest common factor number is the GCF number.
So the greatest common factor 893,852,859 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 87/893, 88/852, 333/859

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 87/893, 88/852, 333/859?

Answer: LCM of Numerators as per given numbers 87/893, 88/852, 333/859 is

LCM of Numerators i.e. for 87,88,333 is 849816

GCF of denominators i.e. for 893,852,859 is 1.

Thus, LCM of Fractions is 849816.Finally, LCM of Fractions for 87/893, 88/852, 333/859 is 849816.