Least Common Multiple of 9632/698, 8680/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9632/698, 8680/813 quickly i.e. 1492960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9632/698, 8680/813 is 1492960.

LCM(9632/698, 8680/813) = 1492960

LCM of 9632/698, 8680/813

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 9632/698,8680/813

Given numbers are 9632/698,8680/813

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 9632,8680

Least Common Multiple of Numerators i.e. LCM of 9632,8680 is 1492960.

GCF of Denominators means GCF of 698,813 as per the given fractions.

GCF of 698,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9632,8680

LCM of Fractions 9632/698,8680/813 is 1492960

2 9632, 8680
2 4816, 4340
2 2408, 2170
7 1204, 1085
172, 155

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 172 x 155 = 1492960

Least Common Multiple of 9632,8680 with GCF Formula

Least Common Multiple of 9632,8680 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 9632,8680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9632,8680) = 56

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

GCF(9632,8680) x common factors =56 x 1 = 56

LCM(9632,8680) = ( 9632 × 8680 ) / 56

LCM(9632,8680) = 83605760 / 56

LCM(9632,8680) = 1492960


Lets's calculate GCF of 698,813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1492960/1

Therefore the LCM of Fractions 9632/698,8680/813 is 1492960

Greatest Common Factor of 698,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,813 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 698,813 . The biggest common factor number is the GCF number.
So the greatest common factor 698,813 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 9632/698, 8680/813

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 9632/698, 8680/813?

Answer: LCM of Numerators as per given numbers 9632/698, 8680/813 is

LCM of Numerators i.e. for 9632,8680 is 1492960

GCF of denominators i.e. for 698,813 is 1.

Thus, LCM of Fractions is 1492960.Finally, LCM of Fractions for 9632/698, 8680/813 is 1492960.