Least Common Multiple of 4991/654, 5169/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4991/654, 5169/280 quickly i.e. 25798479/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4991/654, 5169/280 is 25798479/2.

LCM(4991/654, 5169/280) = 25798479/2

LCM of 4991/654, 5169/280

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 4991/654,5169/280

Given numbers are 4991/654,5169/280

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 4991,5169

Least Common Multiple of Numerators i.e. LCM of 4991,5169 is 25798479.

GCF of Denominators means GCF of 654,280 as per the given fractions.

GCF of 654,280 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4991,5169

LCM of Fractions 4991/654,5169/280 is 25798479/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 25798479

Least Common Multiple of 4991,5169 with GCF Formula

Least Common Multiple of 4991,5169 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 4991,5169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4991,5169) = 1

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

GCF(4991,5169) x common factors =1 x 1 = 1

LCM(4991,5169) = ( 4991 × 5169 ) / 1

LCM(4991,5169) = 25798479 / 1

LCM(4991,5169) = 25798479


Lets's calculate GCF of 654,280

2 654, 280
327, 140

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25798479/2

Therefore the LCM of Fractions 4991/654,5169/280 is 25798479/2

Greatest Common Factor of 654,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,280 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

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

Greatest Common Factor

We found the factors 654,280 . The biggest common factor number is the GCF number.
So the greatest common factor 654,280 is 2.


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 4991/654, 5169/280

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 4991/654, 5169/280?

Answer: LCM of Numerators as per given numbers 4991/654, 5169/280 is

LCM of Numerators i.e. for 4991,5169 is 25798479

GCF of denominators i.e. for 654,280 is 2.

Thus, LCM of Fractions is 25798479/2.Finally, LCM of Fractions for 4991/654, 5169/280 is 25798479/2.