Least Common Multiple of 966/575, 7423/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 966/575, 7423/905 quickly i.e. 7170618/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 966/575, 7423/905 is 7170618/5.

LCM(966/575, 7423/905) = 7170618/5

LCM of 966/575, 7423/905

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 966/575,7423/905

Given numbers are 966/575,7423/905

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 966,7423

Least Common Multiple of Numerators i.e. LCM of 966,7423 is 7170618.

GCF of Denominators means GCF of 575,905 as per the given fractions.

GCF of 575,905 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 966,7423

LCM of Fractions 966/575,7423/905 is 7170618/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 7170618

Least Common Multiple of 966,7423 with GCF Formula

Least Common Multiple of 966,7423 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 966,7423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,7423) = 1

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

GCF(966,7423) x common factors =1 x 1 = 1

LCM(966,7423) = ( 966 × 7423 ) / 1

LCM(966,7423) = 7170618 / 1

LCM(966,7423) = 7170618


Lets's calculate GCF of 575,905

5 575, 905
115, 181

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7170618/5

Therefore the LCM of Fractions 966/575,7423/905 is 7170618/5

Greatest Common Factor of 575,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,905 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 575,905 . The biggest common factor number is the GCF number.
So the greatest common factor 575,905 is 5.


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 966/575, 7423/905

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 966/575, 7423/905?

Answer: LCM of Numerators as per given numbers 966/575, 7423/905 is

LCM of Numerators i.e. for 966,7423 is 7170618

GCF of denominators i.e. for 575,905 is 5.

Thus, LCM of Fractions is 7170618/5.Finally, LCM of Fractions for 966/575, 7423/905 is 7170618/5.