Least Common Multiple of 277/10, 504/2308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 277/10, 504/2308 quickly i.e. 69804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/10, 504/2308 is 69804.

LCM(277/10, 504/2308) = 69804

LCM of 277/10, 504/2308

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 277/10,504/2308

Given numbers are 277/10,504/2308

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 277,504

Least Common Multiple of Numerators i.e. LCM of 277,504 is 139608.

GCF of Denominators means GCF of 10,2308 as per the given fractions.

GCF of 10,2308 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,504

LCM of Fractions 277/10,504/2308 is 69804

Given numbers has no common factors except 1. So, there LCM is their product i.e 139608

Least Common Multiple of 277,504 with GCF Formula

Least Common Multiple of 277,504 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 277,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,504) = 1

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

GCF(277,504) x common factors =1 x 1 = 1

LCM(277,504) = ( 277 × 504 ) / 1

LCM(277,504) = 139608 / 1

LCM(277,504) = 139608


Lets's calculate GCF of 10,2308

2 10, 2308
5, 1154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139608/2

Therefore the LCM of Fractions 277/10,504/2308 is 69804

Greatest Common Factor of 10,2308 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,2308 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 2308

List of positive integer factors of 2308 that divides 2308 without a remainder.

1,2,4,577,1154,2308

Greatest Common Factor

We found the factors 10,2308 . The biggest common factor number is the GCF number.
So the greatest common factor 10,2308 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 277/10, 504/2308

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 277/10, 504/2308?

Answer: LCM of Numerators as per given numbers 277/10, 504/2308 is

LCM of Numerators i.e. for 277,504 is 139608

GCF of denominators i.e. for 10,2308 is 2.

Thus, LCM of Fractions is 69804.Finally, LCM of Fractions for 277/10, 504/2308 is 69804.