Least Common Multiple of 280/50, 899/5110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/50, 899/5110 quickly i.e. 25172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/50, 899/5110 is 25172.

LCM(280/50, 899/5110) = 25172

LCM of 280/50, 899/5110

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 280/50,899/5110

Given numbers are 280/50,899/5110

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 280,899

Least Common Multiple of Numerators i.e. LCM of 280,899 is 251720.

GCF of Denominators means GCF of 50,5110 as per the given fractions.

GCF of 50,5110 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,899

LCM of Fractions 280/50,899/5110 is 25172

Given numbers has no common factors except 1. So, there LCM is their product i.e 251720

Least Common Multiple of 280,899 with GCF Formula

Least Common Multiple of 280,899 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 280,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,899) = 1

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

GCF(280,899) x common factors =1 x 1 = 1

LCM(280,899) = ( 280 × 899 ) / 1

LCM(280,899) = 251720 / 1

LCM(280,899) = 251720


Lets's calculate GCF of 50,5110

2 50, 5110
5 25, 2555
5, 511

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251720/10

Therefore the LCM of Fractions 280/50,899/5110 is 25172

Greatest Common Factor of 50,5110 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,5110 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 5110

List of positive integer factors of 5110 that divides 5110 without a remainder.

1,2,5,7,10,14,35,70,73,146,365,511,730,1022,2555,5110

Greatest Common Factor

We found the factors 50,5110 . The biggest common factor number is the GCF number.
So the greatest common factor 50,5110 is 10.


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 280/50, 899/5110

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 280/50, 899/5110?

Answer: LCM of Numerators as per given numbers 280/50, 899/5110 is

LCM of Numerators i.e. for 280,899 is 251720

GCF of denominators i.e. for 50,5110 is 10.

Thus, LCM of Fractions is 25172.Finally, LCM of Fractions for 280/50, 899/5110 is 25172.