Least Common Multiple of 9695/994, 4988/4760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9695/994, 4988/4760 quickly i.e. 3454190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9695/994, 4988/4760 is 3454190.

LCM(9695/994, 4988/4760) = 3454190

LCM of 9695/994, 4988/4760

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 9695/994,4988/4760

Given numbers are 9695/994,4988/4760

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 9695,4988

Least Common Multiple of Numerators i.e. LCM of 9695,4988 is 48358660.

GCF of Denominators means GCF of 994,4760 as per the given fractions.

GCF of 994,4760 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9695,4988

LCM of Fractions 9695/994,4988/4760 is 3454190

Given numbers has no common factors except 1. So, there LCM is their product i.e 48358660

Least Common Multiple of 9695,4988 with GCF Formula

Least Common Multiple of 9695,4988 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 9695,4988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9695,4988) = 1

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

GCF(9695,4988) x common factors =1 x 1 = 1

LCM(9695,4988) = ( 9695 × 4988 ) / 1

LCM(9695,4988) = 48358660 / 1

LCM(9695,4988) = 48358660


Lets's calculate GCF of 994,4760

2 994, 4760
7 497, 2380
71, 340

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48358660/14

Therefore the LCM of Fractions 9695/994,4988/4760 is 3454190

Greatest Common Factor of 994,4760 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,4760 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 4760

List of positive integer factors of 4760 that divides 4760 without a remainder.

1,2,4,5,7,8,10,14,17,20,28,34,35,40,56,68,70,85,119,136,140,170,238,280,340,476,595,680,952,1190,2380,4760

Greatest Common Factor

We found the factors 994,4760 . The biggest common factor number is the GCF number.
So the greatest common factor 994,4760 is 14.


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 9695/994, 4988/4760

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 9695/994, 4988/4760?

Answer: LCM of Numerators as per given numbers 9695/994, 4988/4760 is

LCM of Numerators i.e. for 9695,4988 is 48358660

GCF of denominators i.e. for 994,4760 is 14.

Thus, LCM of Fractions is 3454190.Finally, LCM of Fractions for 9695/994, 4988/4760 is 3454190.