Least Common Multiple of 9689/760, 8225/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9689/760, 8225/892 quickly i.e. 79692025/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9689/760, 8225/892 is 79692025/4.

LCM(9689/760, 8225/892) = 79692025/4

LCM of 9689/760, 8225/892

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 9689/760,8225/892

Given numbers are 9689/760,8225/892

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 9689,8225

Least Common Multiple of Numerators i.e. LCM of 9689,8225 is 79692025.

GCF of Denominators means GCF of 760,892 as per the given fractions.

GCF of 760,892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9689,8225

LCM of Fractions 9689/760,8225/892 is 79692025/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 79692025

Least Common Multiple of 9689,8225 with GCF Formula

Least Common Multiple of 9689,8225 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 9689,8225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9689,8225) = 1

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

GCF(9689,8225) x common factors =1 x 1 = 1

LCM(9689,8225) = ( 9689 × 8225 ) / 1

LCM(9689,8225) = 79692025 / 1

LCM(9689,8225) = 79692025


Lets's calculate GCF of 760,892

2 760, 892
2 380, 446
190, 223

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79692025/4

Therefore the LCM of Fractions 9689/760,8225/892 is 79692025/4

Greatest Common Factor of 760,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,892 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 760,892 . The biggest common factor number is the GCF number.
So the greatest common factor 760,892 is 4.


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 9689/760, 8225/892

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 9689/760, 8225/892?

Answer: LCM of Numerators as per given numbers 9689/760, 8225/892 is

LCM of Numerators i.e. for 9689,8225 is 79692025

GCF of denominators i.e. for 760,892 is 4.

Thus, LCM of Fractions is 79692025/4.Finally, LCM of Fractions for 9689/760, 8225/892 is 79692025/4.