Least Common Multiple of 84/222, 84/228, 171/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/222, 84/228, 171/907 quickly i.e. 4788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/222, 84/228, 171/907 is 4788.

LCM(84/222, 84/228, 171/907) = 4788

LCM of 84/222, 84/228, 171/907

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 84/222,84/228,171/907

Given numbers are 84/222,84/228,171/907

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 84,84,171

Least Common Multiple of Numerators i.e. LCM of 84,84,171 is 4788.

GCF of Denominators means GCF of 222,228,907 as per the given fractions.

GCF of 222,228,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,84,171

LCM of Fractions 84/222,84/228,171/907 is 4788

2 84, 84, 171
2 42, 42, 171
3 21, 21, 171
7 7, 7, 57
1, 1, 57

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 57 = 4788

Least Common Multiple of 84,84,171 with GCF Formula

Least Common Multiple of 84,84,171 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 84,84,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,84,171) = 3

common factors(in case of two or more numbers have common factors) = 84

GCF(84,84,171) x common factors =3 x 84 = 252

LCM(84,84,171) = ( 84 × 84 × 171 ) / 252

LCM(84,84,171) = 1206576 / 252

LCM(84,84,171) = 4788


Lets's calculate GCF of 222,228,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4788/1

Therefore the LCM of Fractions 84/222,84/228,171/907 is 4788

Greatest Common Factor of 222,228,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,228,907 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 222,228,907 . The biggest common factor number is the GCF number.
So the greatest common factor 222,228,907 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 84/222, 84/228, 171/907

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 84/222, 84/228, 171/907?

Answer: LCM of Numerators as per given numbers 84/222, 84/228, 171/907 is

LCM of Numerators i.e. for 84,84,171 is 4788

GCF of denominators i.e. for 222,228,907 is 1.

Thus, LCM of Fractions is 4788.Finally, LCM of Fractions for 84/222, 84/228, 171/907 is 4788.