Least Common Multiple of 9688/614, 4499/4947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9688/614, 4499/4947 quickly i.e. 43586312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9688/614, 4499/4947 is 43586312.

LCM(9688/614, 4499/4947) = 43586312

LCM of 9688/614, 4499/4947

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 9688/614,4499/4947

Given numbers are 9688/614,4499/4947

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 9688,4499

Least Common Multiple of Numerators i.e. LCM of 9688,4499 is 43586312.

GCF of Denominators means GCF of 614,4947 as per the given fractions.

GCF of 614,4947 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9688,4499

LCM of Fractions 9688/614,4499/4947 is 43586312

Given numbers has no common factors except 1. So, there LCM is their product i.e 43586312

Least Common Multiple of 9688,4499 with GCF Formula

Least Common Multiple of 9688,4499 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 9688,4499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9688,4499) = 1

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

GCF(9688,4499) x common factors =1 x 1 = 1

LCM(9688,4499) = ( 9688 × 4499 ) / 1

LCM(9688,4499) = 43586312 / 1

LCM(9688,4499) = 43586312


Lets's calculate GCF of 614,4947

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43586312/1

Therefore the LCM of Fractions 9688/614,4499/4947 is 43586312

Greatest Common Factor of 614,4947 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,4947 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 4947

List of positive integer factors of 4947 that divides 4947 without a remainder.

1,3,17,51,97,291,1649,4947

Greatest Common Factor

We found the factors 614,4947 . The biggest common factor number is the GCF number.
So the greatest common factor 614,4947 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 9688/614, 4499/4947

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 9688/614, 4499/4947?

Answer: LCM of Numerators as per given numbers 9688/614, 4499/4947 is

LCM of Numerators i.e. for 9688,4499 is 43586312

GCF of denominators i.e. for 614,4947 is 1.

Thus, LCM of Fractions is 43586312.Finally, LCM of Fractions for 9688/614, 4499/4947 is 43586312.