Least Common Multiple of 464/749, 989/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/749, 989/792 quickly i.e. 458896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/749, 989/792 is 458896.

LCM(464/749, 989/792) = 458896

LCM of 464/749, 989/792

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 464/749,989/792

Given numbers are 464/749,989/792

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 464,989

Least Common Multiple of Numerators i.e. LCM of 464,989 is 458896.

GCF of Denominators means GCF of 749,792 as per the given fractions.

GCF of 749,792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,989

LCM of Fractions 464/749,989/792 is 458896

Given numbers has no common factors except 1. So, there LCM is their product i.e 458896

Least Common Multiple of 464,989 with GCF Formula

Least Common Multiple of 464,989 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 464,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,989) = 1

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

GCF(464,989) x common factors =1 x 1 = 1

LCM(464,989) = ( 464 × 989 ) / 1

LCM(464,989) = 458896 / 1

LCM(464,989) = 458896


Lets's calculate GCF of 749,792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458896/1

Therefore the LCM of Fractions 464/749,989/792 is 458896

Greatest Common Factor of 749,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,792 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 749,792 . The biggest common factor number is the GCF number.
So the greatest common factor 749,792 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 464/749, 989/792

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 464/749, 989/792?

Answer: LCM of Numerators as per given numbers 464/749, 989/792 is

LCM of Numerators i.e. for 464,989 is 458896

GCF of denominators i.e. for 749,792 is 1.

Thus, LCM of Fractions is 458896.Finally, LCM of Fractions for 464/749, 989/792 is 458896.