Least Common Multiple of 7669/153, 2567/9775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7669/153, 2567/9775 quickly i.e. 1158019 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7669/153, 2567/9775 is 1158019.

LCM(7669/153, 2567/9775) = 1158019

LCM of 7669/153, 2567/9775

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 7669/153,2567/9775

Given numbers are 7669/153,2567/9775

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 7669,2567

Least Common Multiple of Numerators i.e. LCM of 7669,2567 is 19686323.

GCF of Denominators means GCF of 153,9775 as per the given fractions.

GCF of 153,9775 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7669,2567

LCM of Fractions 7669/153,2567/9775 is 1158019

Given numbers has no common factors except 1. So, there LCM is their product i.e 19686323

Least Common Multiple of 7669,2567 with GCF Formula

Least Common Multiple of 7669,2567 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 7669,2567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7669,2567) = 1

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

GCF(7669,2567) x common factors =1 x 1 = 1

LCM(7669,2567) = ( 7669 × 2567 ) / 1

LCM(7669,2567) = 19686323 / 1

LCM(7669,2567) = 19686323


Lets's calculate GCF of 153,9775

17 153, 9775
9, 575

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19686323/17

Therefore the LCM of Fractions 7669/153,2567/9775 is 1158019

Greatest Common Factor of 153,9775 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,9775 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 9775

List of positive integer factors of 9775 that divides 9775 without a remainder.

1,5,17,23,25,85,115,391,425,575,1955,9775

Greatest Common Factor

We found the factors 153,9775 . The biggest common factor number is the GCF number.
So the greatest common factor 153,9775 is 17.


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 7669/153, 2567/9775

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 7669/153, 2567/9775?

Answer: LCM of Numerators as per given numbers 7669/153, 2567/9775 is

LCM of Numerators i.e. for 7669,2567 is 19686323

GCF of denominators i.e. for 153,9775 is 17.

Thus, LCM of Fractions is 1158019.Finally, LCM of Fractions for 7669/153, 2567/9775 is 1158019.