Least Common Multiple of 222/43, 169/76, 387/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/43, 169/76, 387/314 quickly i.e. 4839822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/43, 169/76, 387/314 is 4839822.

LCM(222/43, 169/76, 387/314) = 4839822

LCM of 222/43, 169/76, 387/314

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 222/43,169/76,387/314

Given numbers are 222/43,169/76,387/314

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 222,169,387

Least Common Multiple of Numerators i.e. LCM of 222,169,387 is 4839822.

GCF of Denominators means GCF of 43,76,314 as per the given fractions.

GCF of 43,76,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,169,387

LCM of Fractions 222/43,169/76,387/314 is 4839822

3 222, 169, 387
74, 169, 129

∴ So the LCM of the given numbers is 3 x 74 x 169 x 129 = 4839822

Least Common Multiple of 222,169,387 with GCF Formula

Least Common Multiple of 222,169,387 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 222,169,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,169,387) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(222,169,387) x common factors =1 x 3 = 3

LCM(222,169,387) = ( 222 × 169 × 387 ) / 3

LCM(222,169,387) = 14519466 / 3

LCM(222,169,387) = 4839822


Lets's calculate GCF of 43,76,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4839822/1

Therefore the LCM of Fractions 222/43,169/76,387/314 is 4839822

Greatest Common Factor of 43,76,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,76,314 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 76

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

1,2,4,19,38,76

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 43,76,314 . The biggest common factor number is the GCF number.
So the greatest common factor 43,76,314 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 222/43, 169/76, 387/314

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 222/43, 169/76, 387/314?

Answer: LCM of Numerators as per given numbers 222/43, 169/76, 387/314 is

LCM of Numerators i.e. for 222,169,387 is 4839822

GCF of denominators i.e. for 43,76,314 is 1.

Thus, LCM of Fractions is 4839822.Finally, LCM of Fractions for 222/43, 169/76, 387/314 is 4839822.