Least Common Multiple of 991/45, 578/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 991/45, 578/920 quickly i.e. 572798/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 991/45, 578/920 is 572798/5.

LCM(991/45, 578/920) = 572798/5

LCM of 991/45, 578/920

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 991/45,578/920

Given numbers are 991/45,578/920

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 991,578

Least Common Multiple of Numerators i.e. LCM of 991,578 is 572798.

GCF of Denominators means GCF of 45,920 as per the given fractions.

GCF of 45,920 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 991,578

LCM of Fractions 991/45,578/920 is 572798/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 572798

Least Common Multiple of 991,578 with GCF Formula

Least Common Multiple of 991,578 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 991,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,578) = 1

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

GCF(991,578) x common factors =1 x 1 = 1

LCM(991,578) = ( 991 × 578 ) / 1

LCM(991,578) = 572798 / 1

LCM(991,578) = 572798


Lets's calculate GCF of 45,920

5 45, 920
9, 184

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572798/5

Therefore the LCM of Fractions 991/45,578/920 is 572798/5

Greatest Common Factor of 45,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,920 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 45,920 . The biggest common factor number is the GCF number.
So the greatest common factor 45,920 is 5.


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 991/45, 578/920

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 991/45, 578/920?

Answer: LCM of Numerators as per given numbers 991/45, 578/920 is

LCM of Numerators i.e. for 991,578 is 572798

GCF of denominators i.e. for 45,920 is 5.

Thus, LCM of Fractions is 572798/5.Finally, LCM of Fractions for 991/45, 578/920 is 572798/5.