Least Common Multiple of 222/999, 1287/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 222/999, 1287/851 quickly i.e. 2574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/999, 1287/851 is 2574.

LCM(222/999, 1287/851) = 2574

LCM of 222/999, 1287/851

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 222/999,1287/851

Given numbers are 222/999,1287/851

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 222,1287

Least Common Multiple of Numerators i.e. LCM of 222,1287 is 95238.

GCF of Denominators means GCF of 999,851 as per the given fractions.

GCF of 999,851 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,1287

LCM of Fractions 222/999,1287/851 is 2574

3 222, 1287
74, 429

∴ So the LCM of the given numbers is 3 x 74 x 429 = 95238

Least Common Multiple of 222,1287 with GCF Formula

Least Common Multiple of 222,1287 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 222,1287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,1287) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(222,1287) x common factors =3 x 1 = 3

LCM(222,1287) = ( 222 × 1287 ) / 3

LCM(222,1287) = 285714 / 3

LCM(222,1287) = 95238


Lets's calculate GCF of 999,851

37 999, 851
27, 23

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95238/37

Therefore the LCM of Fractions 222/999,1287/851 is 2574

Greatest Common Factor of 999,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,851 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 999,851 . The biggest common factor number is the GCF number.
So the greatest common factor 999,851 is 37.


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 222/999, 1287/851

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 222/999, 1287/851?

Answer: LCM of Numerators as per given numbers 222/999, 1287/851 is

LCM of Numerators i.e. for 222,1287 is 95238

GCF of denominators i.e. for 999,851 is 37.

Thus, LCM of Fractions is 2574.Finally, LCM of Fractions for 222/999, 1287/851 is 2574.