Least Common Multiple of 9690/108, 2584/7495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9690/108, 2584/7495 quickly i.e. 38760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9690/108, 2584/7495 is 38760.

LCM(9690/108, 2584/7495) = 38760

LCM of 9690/108, 2584/7495

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 9690/108,2584/7495

Given numbers are 9690/108,2584/7495

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 9690,2584

Least Common Multiple of Numerators i.e. LCM of 9690,2584 is 38760.

GCF of Denominators means GCF of 108,7495 as per the given fractions.

GCF of 108,7495 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9690,2584

LCM of Fractions 9690/108,2584/7495 is 38760

2 9690, 2584
17 4845, 1292
19 285, 76
15, 4

∴ So the LCM of the given numbers is 2 x 17 x 19 x 15 x 4 = 38760

Least Common Multiple of 9690,2584 with GCF Formula

Least Common Multiple of 9690,2584 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 9690,2584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9690,2584) = 646

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

GCF(9690,2584) x common factors =646 x 1 = 646

LCM(9690,2584) = ( 9690 × 2584 ) / 646

LCM(9690,2584) = 25038960 / 646

LCM(9690,2584) = 38760


Lets's calculate GCF of 108,7495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38760/1

Therefore the LCM of Fractions 9690/108,2584/7495 is 38760

Greatest Common Factor of 108,7495 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,7495 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

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

Factors of 7495

List of positive integer factors of 7495 that divides 7495 without a remainder.

1,5,1499,7495

Greatest Common Factor

We found the factors 108,7495 . The biggest common factor number is the GCF number.
So the greatest common factor 108,7495 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 9690/108, 2584/7495

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 9690/108, 2584/7495?

Answer: LCM of Numerators as per given numbers 9690/108, 2584/7495 is

LCM of Numerators i.e. for 9690,2584 is 38760

GCF of denominators i.e. for 108,7495 is 1.

Thus, LCM of Fractions is 38760.Finally, LCM of Fractions for 9690/108, 2584/7495 is 38760.