Least Common Multiple of 470/96, 399/7943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 470/96, 399/7943 quickly i.e. 187530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 470/96, 399/7943 is 187530.

LCM(470/96, 399/7943) = 187530

LCM of 470/96, 399/7943

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 470/96,399/7943

Given numbers are 470/96,399/7943

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 470,399

Least Common Multiple of Numerators i.e. LCM of 470,399 is 187530.

GCF of Denominators means GCF of 96,7943 as per the given fractions.

GCF of 96,7943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 470,399

LCM of Fractions 470/96,399/7943 is 187530

Given numbers has no common factors except 1. So, there LCM is their product i.e 187530

Least Common Multiple of 470,399 with GCF Formula

Least Common Multiple of 470,399 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 470,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,399) = 1

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

GCF(470,399) x common factors =1 x 1 = 1

LCM(470,399) = ( 470 × 399 ) / 1

LCM(470,399) = 187530 / 1

LCM(470,399) = 187530


Lets's calculate GCF of 96,7943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187530/1

Therefore the LCM of Fractions 470/96,399/7943 is 187530

Greatest Common Factor of 96,7943 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,7943 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 7943

List of positive integer factors of 7943 that divides 7943 without a remainder.

1,13,47,169,611,7943

Greatest Common Factor

We found the factors 96,7943 . The biggest common factor number is the GCF number.
So the greatest common factor 96,7943 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 470/96, 399/7943

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 470/96, 399/7943?

Answer: LCM of Numerators as per given numbers 470/96, 399/7943 is

LCM of Numerators i.e. for 470,399 is 187530

GCF of denominators i.e. for 96,7943 is 1.

Thus, LCM of Fractions is 187530.Finally, LCM of Fractions for 470/96, 399/7943 is 187530.