Least Common Multiple of 398/42, 4376/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/42, 4376/805 quickly i.e. 870824/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/42, 4376/805 is 870824/7.

LCM(398/42, 4376/805) = 870824/7

LCM of 398/42, 4376/805

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 398/42,4376/805

Given numbers are 398/42,4376/805

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 398,4376

Least Common Multiple of Numerators i.e. LCM of 398,4376 is 870824.

GCF of Denominators means GCF of 42,805 as per the given fractions.

GCF of 42,805 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,4376

LCM of Fractions 398/42,4376/805 is 870824/7

2 398, 4376
199, 2188

∴ So the LCM of the given numbers is 2 x 199 x 2188 = 870824

Least Common Multiple of 398,4376 with GCF Formula

Least Common Multiple of 398,4376 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 398,4376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,4376) = 2

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

GCF(398,4376) x common factors =2 x 1 = 2

LCM(398,4376) = ( 398 × 4376 ) / 2

LCM(398,4376) = 1741648 / 2

LCM(398,4376) = 870824


Lets's calculate GCF of 42,805

7 42, 805
6, 115

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 870824/7

Therefore the LCM of Fractions 398/42,4376/805 is 870824/7

Greatest Common Factor of 42,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,805 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 42,805 . The biggest common factor number is the GCF number.
So the greatest common factor 42,805 is 7.


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 398/42, 4376/805

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 398/42, 4376/805?

Answer: LCM of Numerators as per given numbers 398/42, 4376/805 is

LCM of Numerators i.e. for 398,4376 is 870824

GCF of denominators i.e. for 42,805 is 7.

Thus, LCM of Fractions is 870824/7.Finally, LCM of Fractions for 398/42, 4376/805 is 870824/7.