Least Common Multiple of 379/89, 284/4598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 379/89, 284/4598 quickly i.e. 107636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/89, 284/4598 is 107636.

LCM(379/89, 284/4598) = 107636

LCM of 379/89, 284/4598

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 379/89,284/4598

Given numbers are 379/89,284/4598

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 379,284

Least Common Multiple of Numerators i.e. LCM of 379,284 is 107636.

GCF of Denominators means GCF of 89,4598 as per the given fractions.

GCF of 89,4598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,284

LCM of Fractions 379/89,284/4598 is 107636

Given numbers has no common factors except 1. So, there LCM is their product i.e 107636

Least Common Multiple of 379,284 with GCF Formula

Least Common Multiple of 379,284 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 379,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,284) = 1

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

GCF(379,284) x common factors =1 x 1 = 1

LCM(379,284) = ( 379 × 284 ) / 1

LCM(379,284) = 107636 / 1

LCM(379,284) = 107636


Lets's calculate GCF of 89,4598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107636/1

Therefore the LCM of Fractions 379/89,284/4598 is 107636

Greatest Common Factor of 89,4598 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,4598 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 4598

List of positive integer factors of 4598 that divides 4598 without a remainder.

1,2,11,19,22,38,121,209,242,418,2299,4598

Greatest Common Factor

We found the factors 89,4598 . The biggest common factor number is the GCF number.
So the greatest common factor 89,4598 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 379/89, 284/4598

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 379/89, 284/4598?

Answer: LCM of Numerators as per given numbers 379/89, 284/4598 is

LCM of Numerators i.e. for 379,284 is 107636

GCF of denominators i.e. for 89,4598 is 1.

Thus, LCM of Fractions is 107636.Finally, LCM of Fractions for 379/89, 284/4598 is 107636.