Least Common Multiple of 7677/208, 8965/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7677/208, 8965/360 quickly i.e. 68824305/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7677/208, 8965/360 is 68824305/8.

LCM(7677/208, 8965/360) = 68824305/8

LCM of 7677/208, 8965/360

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 7677/208,8965/360

Given numbers are 7677/208,8965/360

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 7677,8965

Least Common Multiple of Numerators i.e. LCM of 7677,8965 is 68824305.

GCF of Denominators means GCF of 208,360 as per the given fractions.

GCF of 208,360 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7677,8965

LCM of Fractions 7677/208,8965/360 is 68824305/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 68824305

Least Common Multiple of 7677,8965 with GCF Formula

Least Common Multiple of 7677,8965 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 7677,8965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7677,8965) = 1

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

GCF(7677,8965) x common factors =1 x 1 = 1

LCM(7677,8965) = ( 7677 × 8965 ) / 1

LCM(7677,8965) = 68824305 / 1

LCM(7677,8965) = 68824305


Lets's calculate GCF of 208,360

2 208, 360
2 104, 180
2 52, 90
26, 45

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68824305/8

Therefore the LCM of Fractions 7677/208,8965/360 is 68824305/8

Greatest Common Factor of 208,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,360 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 208,360 . The biggest common factor number is the GCF number.
So the greatest common factor 208,360 is 8.


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 7677/208, 8965/360

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 7677/208, 8965/360?

Answer: LCM of Numerators as per given numbers 7677/208, 8965/360 is

LCM of Numerators i.e. for 7677,8965 is 68824305

GCF of denominators i.e. for 208,360 is 8.

Thus, LCM of Fractions is 68824305/8.Finally, LCM of Fractions for 7677/208, 8965/360 is 68824305/8.