Least Common Multiple of 379/238, 2316/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 379/238, 2316/856 quickly i.e. 438882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/238, 2316/856 is 438882.

LCM(379/238, 2316/856) = 438882

LCM of 379/238, 2316/856

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 379/238,2316/856

Given numbers are 379/238,2316/856

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 379,2316

Least Common Multiple of Numerators i.e. LCM of 379,2316 is 877764.

GCF of Denominators means GCF of 238,856 as per the given fractions.

GCF of 238,856 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,2316

LCM of Fractions 379/238,2316/856 is 438882

Given numbers has no common factors except 1. So, there LCM is their product i.e 877764

Least Common Multiple of 379,2316 with GCF Formula

Least Common Multiple of 379,2316 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 379,2316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,2316) = 1

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

GCF(379,2316) x common factors =1 x 1 = 1

LCM(379,2316) = ( 379 × 2316 ) / 1

LCM(379,2316) = 877764 / 1

LCM(379,2316) = 877764


Lets's calculate GCF of 238,856

2 238, 856
119, 428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 877764/2

Therefore the LCM of Fractions 379/238,2316/856 is 438882

Greatest Common Factor of 238,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,856 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 238,856 . The biggest common factor number is the GCF number.
So the greatest common factor 238,856 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 379/238, 2316/856

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 379/238, 2316/856?

Answer: LCM of Numerators as per given numbers 379/238, 2316/856 is

LCM of Numerators i.e. for 379,2316 is 877764

GCF of denominators i.e. for 238,856 is 2.

Thus, LCM of Fractions is 438882.Finally, LCM of Fractions for 379/238, 2316/856 is 438882.