Least Common Multiple of 9497/324, 8509/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9497/324, 8509/632 quickly i.e. 80809973/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9497/324, 8509/632 is 80809973/4.

LCM(9497/324, 8509/632) = 80809973/4

LCM of 9497/324, 8509/632

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 9497/324,8509/632

Given numbers are 9497/324,8509/632

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 9497,8509

Least Common Multiple of Numerators i.e. LCM of 9497,8509 is 80809973.

GCF of Denominators means GCF of 324,632 as per the given fractions.

GCF of 324,632 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9497,8509

LCM of Fractions 9497/324,8509/632 is 80809973/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 80809973

Least Common Multiple of 9497,8509 with GCF Formula

Least Common Multiple of 9497,8509 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 9497,8509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9497,8509) = 1

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

GCF(9497,8509) x common factors =1 x 1 = 1

LCM(9497,8509) = ( 9497 × 8509 ) / 1

LCM(9497,8509) = 80809973 / 1

LCM(9497,8509) = 80809973


Lets's calculate GCF of 324,632

2 324, 632
2 162, 316
81, 158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80809973/4

Therefore the LCM of Fractions 9497/324,8509/632 is 80809973/4

Greatest Common Factor of 324,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,632 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 324,632 . The biggest common factor number is the GCF number.
So the greatest common factor 324,632 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 9497/324, 8509/632

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 9497/324, 8509/632?

Answer: LCM of Numerators as per given numbers 9497/324, 8509/632 is

LCM of Numerators i.e. for 9497,8509 is 80809973

GCF of denominators i.e. for 324,632 is 4.

Thus, LCM of Fractions is 80809973/4.Finally, LCM of Fractions for 9497/324, 8509/632 is 80809973/4.