Least Common Multiple of 991/280, 444/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 991/280, 444/220 quickly i.e. 440004/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 991/280, 444/220 is 440004/20.

LCM(991/280, 444/220) = 440004/20

LCM of 991/280, 444/220

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 991/280,444/220

Given numbers are 991/280,444/220

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 991,444

Least Common Multiple of Numerators i.e. LCM of 991,444 is 440004.

GCF of Denominators means GCF of 280,220 as per the given fractions.

GCF of 280,220 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 991,444

LCM of Fractions 991/280,444/220 is 440004/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 440004

Least Common Multiple of 991,444 with GCF Formula

Least Common Multiple of 991,444 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 991,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,444) = 1

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

GCF(991,444) x common factors =1 x 1 = 1

LCM(991,444) = ( 991 × 444 ) / 1

LCM(991,444) = 440004 / 1

LCM(991,444) = 440004


Lets's calculate GCF of 280,220

2 280, 220
2 140, 110
5 70, 55
14, 11

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440004/20

Therefore the LCM of Fractions 991/280,444/220 is 440004/20

Greatest Common Factor of 280,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,220 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 280,220 . The biggest common factor number is the GCF number.
So the greatest common factor 280,220 is 20.


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 991/280, 444/220

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 991/280, 444/220?

Answer: LCM of Numerators as per given numbers 991/280, 444/220 is

LCM of Numerators i.e. for 991,444 is 440004

GCF of denominators i.e. for 280,220 is 20.

Thus, LCM of Fractions is 440004/20.Finally, LCM of Fractions for 991/280, 444/220 is 440004/20.