Least Common Multiple of 8065/992, 9357/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8065/992, 9357/925 quickly i.e. 75464205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8065/992, 9357/925 is 75464205.

LCM(8065/992, 9357/925) = 75464205

LCM of 8065/992, 9357/925

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 8065/992,9357/925

Given numbers are 8065/992,9357/925

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 8065,9357

Least Common Multiple of Numerators i.e. LCM of 8065,9357 is 75464205.

GCF of Denominators means GCF of 992,925 as per the given fractions.

GCF of 992,925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8065,9357

LCM of Fractions 8065/992,9357/925 is 75464205

Given numbers has no common factors except 1. So, there LCM is their product i.e 75464205

Least Common Multiple of 8065,9357 with GCF Formula

Least Common Multiple of 8065,9357 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 8065,9357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8065,9357) = 1

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

GCF(8065,9357) x common factors =1 x 1 = 1

LCM(8065,9357) = ( 8065 × 9357 ) / 1

LCM(8065,9357) = 75464205 / 1

LCM(8065,9357) = 75464205


Lets's calculate GCF of 992,925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75464205/1

Therefore the LCM of Fractions 8065/992,9357/925 is 75464205

Greatest Common Factor of 992,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,925 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 992,925 . The biggest common factor number is the GCF number.
So the greatest common factor 992,925 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8065/992, 9357/925

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 8065/992, 9357/925?

Answer: LCM of Numerators as per given numbers 8065/992, 9357/925 is

LCM of Numerators i.e. for 8065,9357 is 75464205

GCF of denominators i.e. for 992,925 is 1.

Thus, LCM of Fractions is 75464205.Finally, LCM of Fractions for 8065/992, 9357/925 is 75464205.