Least Common Multiple of 279/16, 868/90, 222/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/16, 868/90, 222/850 quickly i.e. 144522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/16, 868/90, 222/850 is 144522.

LCM(279/16, 868/90, 222/850) = 144522

LCM of 279/16, 868/90, 222/850

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 279/16,868/90,222/850

Given numbers are 279/16,868/90,222/850

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 279,868,222

Least Common Multiple of Numerators i.e. LCM of 279,868,222 is 289044.

GCF of Denominators means GCF of 16,90,850 as per the given fractions.

GCF of 16,90,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,868,222

LCM of Fractions 279/16,868/90,222/850 is 144522

2 279, 868, 222
3 279, 434, 111
31 93, 434, 37
3, 14, 37

∴ So the LCM of the given numbers is 2 x 3 x 31 x 3 x 14 x 37 = 289044

Least Common Multiple of 279,868,222 with GCF Formula

Least Common Multiple of 279,868,222 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 279,868,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,868,222) = 1

common factors(in case of two or more numbers have common factors) = 186

GCF(279,868,222) x common factors =1 x 186 = 186

LCM(279,868,222) = ( 279 × 868 × 222 ) / 186

LCM(279,868,222) = 53762184 / 186

LCM(279,868,222) = 289044


Lets's calculate GCF of 16,90,850

2 16, 90, 850
8, 45, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289044/2

Therefore the LCM of Fractions 279/16,868/90,222/850 is 144522

Greatest Common Factor of 16,90,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,90,850 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 16,90,850 . The biggest common factor number is the GCF number.
So the greatest common factor 16,90,850 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 279/16, 868/90, 222/850

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 279/16, 868/90, 222/850?

Answer: LCM of Numerators as per given numbers 279/16, 868/90, 222/850 is

LCM of Numerators i.e. for 279,868,222 is 289044

GCF of denominators i.e. for 16,90,850 is 2.

Thus, LCM of Fractions is 144522.Finally, LCM of Fractions for 279/16, 868/90, 222/850 is 144522.