Least Common Multiple of 480/913, 3973/7743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 480/913, 3973/7743 quickly i.e. 1907040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/913, 3973/7743 is 1907040.

LCM(480/913, 3973/7743) = 1907040

LCM of 480/913, 3973/7743

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 480/913,3973/7743

Given numbers are 480/913,3973/7743

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 480,3973

Least Common Multiple of Numerators i.e. LCM of 480,3973 is 1907040.

GCF of Denominators means GCF of 913,7743 as per the given fractions.

GCF of 913,7743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,3973

LCM of Fractions 480/913,3973/7743 is 1907040

Given numbers has no common factors except 1. So, there LCM is their product i.e 1907040

Least Common Multiple of 480,3973 with GCF Formula

Least Common Multiple of 480,3973 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 480,3973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,3973) = 1

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

GCF(480,3973) x common factors =1 x 1 = 1

LCM(480,3973) = ( 480 × 3973 ) / 1

LCM(480,3973) = 1907040 / 1

LCM(480,3973) = 1907040


Lets's calculate GCF of 913,7743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1907040/1

Therefore the LCM of Fractions 480/913,3973/7743 is 1907040

Greatest Common Factor of 913,7743 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,7743 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 7743

List of positive integer factors of 7743 that divides 7743 without a remainder.

1,3,29,87,89,267,2581,7743

Greatest Common Factor

We found the factors 913,7743 . The biggest common factor number is the GCF number.
So the greatest common factor 913,7743 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 480/913, 3973/7743

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 480/913, 3973/7743?

Answer: LCM of Numerators as per given numbers 480/913, 3973/7743 is

LCM of Numerators i.e. for 480,3973 is 1907040

GCF of denominators i.e. for 913,7743 is 1.

Thus, LCM of Fractions is 1907040.Finally, LCM of Fractions for 480/913, 3973/7743 is 1907040.