Least Common Multiple of 7145/677, 9296/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7145/677, 9296/969 quickly i.e. 66419920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7145/677, 9296/969 is 66419920.

LCM(7145/677, 9296/969) = 66419920

LCM of 7145/677, 9296/969

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 7145/677,9296/969

Given numbers are 7145/677,9296/969

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 7145,9296

Least Common Multiple of Numerators i.e. LCM of 7145,9296 is 66419920.

GCF of Denominators means GCF of 677,969 as per the given fractions.

GCF of 677,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7145,9296

LCM of Fractions 7145/677,9296/969 is 66419920

Given numbers has no common factors except 1. So, there LCM is their product i.e 66419920

Least Common Multiple of 7145,9296 with GCF Formula

Least Common Multiple of 7145,9296 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 7145,9296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7145,9296) = 1

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

GCF(7145,9296) x common factors =1 x 1 = 1

LCM(7145,9296) = ( 7145 × 9296 ) / 1

LCM(7145,9296) = 66419920 / 1

LCM(7145,9296) = 66419920


Lets's calculate GCF of 677,969

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66419920/1

Therefore the LCM of Fractions 7145/677,9296/969 is 66419920

Greatest Common Factor of 677,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,969 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 677,969 . The biggest common factor number is the GCF number.
So the greatest common factor 677,969 is 1.


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 7145/677, 9296/969

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 7145/677, 9296/969?

Answer: LCM of Numerators as per given numbers 7145/677, 9296/969 is

LCM of Numerators i.e. for 7145,9296 is 66419920

GCF of denominators i.e. for 677,969 is 1.

Thus, LCM of Fractions is 66419920.Finally, LCM of Fractions for 7145/677, 9296/969 is 66419920.