Least Common Multiple of 87/852, 888/678, 306/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/852, 888/678, 306/200 quickly i.e. 656676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/852, 888/678, 306/200 is 656676.

LCM(87/852, 888/678, 306/200) = 656676

LCM of 87/852, 888/678, 306/200

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 87/852,888/678,306/200

Given numbers are 87/852,888/678,306/200

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 87,888,306

Least Common Multiple of Numerators i.e. LCM of 87,888,306 is 1313352.

GCF of Denominators means GCF of 852,678,200 as per the given fractions.

GCF of 852,678,200 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,888,306

LCM of Fractions 87/852,888/678,306/200 is 656676

2 87, 888, 306
3 87, 444, 153
29, 148, 51

∴ So the LCM of the given numbers is 2 x 3 x 29 x 148 x 51 = 1313352

Least Common Multiple of 87,888,306 with GCF Formula

Least Common Multiple of 87,888,306 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 87,888,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,888,306) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(87,888,306) x common factors =3 x 6 = 18

LCM(87,888,306) = ( 87 × 888 × 306 ) / 18

LCM(87,888,306) = 23640336 / 18

LCM(87,888,306) = 1313352


Lets's calculate GCF of 852,678,200

2 852, 678, 200
426, 339, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1313352/2

Therefore the LCM of Fractions 87/852,888/678,306/200 is 656676

Greatest Common Factor of 852,678,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,678,200 By Matching Biggest Common Factor Method

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 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

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 852,678,200 . The biggest common factor number is the GCF number.
So the greatest common factor 852,678,200 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 87/852, 888/678, 306/200

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 87/852, 888/678, 306/200?

Answer: LCM of Numerators as per given numbers 87/852, 888/678, 306/200 is

LCM of Numerators i.e. for 87,888,306 is 1313352

GCF of denominators i.e. for 852,678,200 is 2.

Thus, LCM of Fractions is 656676.Finally, LCM of Fractions for 87/852, 888/678, 306/200 is 656676.