Least Common Multiple of 4583/746, 6978/7997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4583/746, 6978/7997 quickly i.e. 31980174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4583/746, 6978/7997 is 31980174.

LCM(4583/746, 6978/7997) = 31980174

LCM of 4583/746, 6978/7997

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 4583/746,6978/7997

Given numbers are 4583/746,6978/7997

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 4583,6978

Least Common Multiple of Numerators i.e. LCM of 4583,6978 is 31980174.

GCF of Denominators means GCF of 746,7997 as per the given fractions.

GCF of 746,7997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4583,6978

LCM of Fractions 4583/746,6978/7997 is 31980174

Given numbers has no common factors except 1. So, there LCM is their product i.e 31980174

Least Common Multiple of 4583,6978 with GCF Formula

Least Common Multiple of 4583,6978 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 4583,6978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4583,6978) = 1

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

GCF(4583,6978) x common factors =1 x 1 = 1

LCM(4583,6978) = ( 4583 × 6978 ) / 1

LCM(4583,6978) = 31980174 / 1

LCM(4583,6978) = 31980174


Lets's calculate GCF of 746,7997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31980174/1

Therefore the LCM of Fractions 4583/746,6978/7997 is 31980174

Greatest Common Factor of 746,7997 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,7997 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 7997

List of positive integer factors of 7997 that divides 7997 without a remainder.

1,11,727,7997

Greatest Common Factor

We found the factors 746,7997 . The biggest common factor number is the GCF number.
So the greatest common factor 746,7997 is 1.


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 4583/746, 6978/7997

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 4583/746, 6978/7997?

Answer: LCM of Numerators as per given numbers 4583/746, 6978/7997 is

LCM of Numerators i.e. for 4583,6978 is 31980174

GCF of denominators i.e. for 746,7997 is 1.

Thus, LCM of Fractions is 31980174.Finally, LCM of Fractions for 4583/746, 6978/7997 is 31980174.