Least Common Multiple of 943/48, 6394/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 943/48, 6394/705 quickly i.e. 262154/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 943/48, 6394/705 is 262154/3.

LCM(943/48, 6394/705) = 262154/3

LCM of 943/48, 6394/705

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 943/48,6394/705

Given numbers are 943/48,6394/705

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 943,6394

Least Common Multiple of Numerators i.e. LCM of 943,6394 is 262154.

GCF of Denominators means GCF of 48,705 as per the given fractions.

GCF of 48,705 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 943,6394

LCM of Fractions 943/48,6394/705 is 262154/3

23 943, 6394
41, 278

∴ So the LCM of the given numbers is 23 x 41 x 278 = 262154

Least Common Multiple of 943,6394 with GCF Formula

Least Common Multiple of 943,6394 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 943,6394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(943,6394) = 23

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

GCF(943,6394) x common factors =23 x 1 = 23

LCM(943,6394) = ( 943 × 6394 ) / 23

LCM(943,6394) = 6029542 / 23

LCM(943,6394) = 262154


Lets's calculate GCF of 48,705

3 48, 705
16, 235

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262154/3

Therefore the LCM of Fractions 943/48,6394/705 is 262154/3

Greatest Common Factor of 48,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,705 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 48,705 . The biggest common factor number is the GCF number.
So the greatest common factor 48,705 is 3.


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 943/48, 6394/705

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 943/48, 6394/705?

Answer: LCM of Numerators as per given numbers 943/48, 6394/705 is

LCM of Numerators i.e. for 943,6394 is 262154

GCF of denominators i.e. for 48,705 is 3.

Thus, LCM of Fractions is 262154/3.Finally, LCM of Fractions for 943/48, 6394/705 is 262154/3.