Least Common Multiple of 4374/355, 6837/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4374/355, 6837/995 quickly i.e. 9968346/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4374/355, 6837/995 is 9968346/5.

LCM(4374/355, 6837/995) = 9968346/5

LCM of 4374/355, 6837/995

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 4374/355,6837/995

Given numbers are 4374/355,6837/995

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 4374,6837

Least Common Multiple of Numerators i.e. LCM of 4374,6837 is 9968346.

GCF of Denominators means GCF of 355,995 as per the given fractions.

GCF of 355,995 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4374,6837

LCM of Fractions 4374/355,6837/995 is 9968346/5

3 4374, 6837
1458, 2279

∴ So the LCM of the given numbers is 3 x 1458 x 2279 = 9968346

Least Common Multiple of 4374,6837 with GCF Formula

Least Common Multiple of 4374,6837 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 4374,6837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4374,6837) = 3

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

GCF(4374,6837) x common factors =3 x 1 = 3

LCM(4374,6837) = ( 4374 × 6837 ) / 3

LCM(4374,6837) = 29905038 / 3

LCM(4374,6837) = 9968346


Lets's calculate GCF of 355,995

5 355, 995
71, 199

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9968346/5

Therefore the LCM of Fractions 4374/355,6837/995 is 9968346/5

Greatest Common Factor of 355,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,995 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 355,995 . The biggest common factor number is the GCF number.
So the greatest common factor 355,995 is 5.


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 4374/355, 6837/995

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 4374/355, 6837/995?

Answer: LCM of Numerators as per given numbers 4374/355, 6837/995 is

LCM of Numerators i.e. for 4374,6837 is 9968346

GCF of denominators i.e. for 355,995 is 5.

Thus, LCM of Fractions is 9968346/5.Finally, LCM of Fractions for 4374/355, 6837/995 is 9968346/5.