Least Common Multiple of 222/77, 359/76, 222/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/77, 359/76, 222/343 quickly i.e. 79698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/77, 359/76, 222/343 is 79698.

LCM(222/77, 359/76, 222/343) = 79698

LCM of 222/77, 359/76, 222/343

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 222/77,359/76,222/343

Given numbers are 222/77,359/76,222/343

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 222,359,222

Least Common Multiple of Numerators i.e. LCM of 222,359,222 is 79698.

GCF of Denominators means GCF of 77,76,343 as per the given fractions.

GCF of 77,76,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,359,222

LCM of Fractions 222/77,359/76,222/343 is 79698

2 222, 359, 222
3 111, 359, 111
37 37, 359, 37
1, 359, 1

∴ So the LCM of the given numbers is 2 x 3 x 37 x 1 x 359 x 1 = 79698

Least Common Multiple of 222,359,222 with GCF Formula

Least Common Multiple of 222,359,222 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 222,359,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,359,222) = 1

common factors(in case of two or more numbers have common factors) = 222

GCF(222,359,222) x common factors =1 x 222 = 222

LCM(222,359,222) = ( 222 × 359 × 222 ) / 222

LCM(222,359,222) = 17692956 / 222

LCM(222,359,222) = 79698


Lets's calculate GCF of 77,76,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79698/1

Therefore the LCM of Fractions 222/77,359/76,222/343 is 79698

Greatest Common Factor of 77,76,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,76,343 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 77,76,343 . The biggest common factor number is the GCF number.
So the greatest common factor 77,76,343 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 222/77, 359/76, 222/343

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 222/77, 359/76, 222/343?

Answer: LCM of Numerators as per given numbers 222/77, 359/76, 222/343 is

LCM of Numerators i.e. for 222,359,222 is 79698

GCF of denominators i.e. for 77,76,343 is 1.

Thus, LCM of Fractions is 79698.Finally, LCM of Fractions for 222/77, 359/76, 222/343 is 79698.