Least Common Multiple of 14/464, 9808/7161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/464, 9808/7161 quickly i.e. 68656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/464, 9808/7161 is 68656.

LCM(14/464, 9808/7161) = 68656

LCM of 14/464, 9808/7161

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 14/464,9808/7161

Given numbers are 14/464,9808/7161

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 14,9808

Least Common Multiple of Numerators i.e. LCM of 14,9808 is 68656.

GCF of Denominators means GCF of 464,7161 as per the given fractions.

GCF of 464,7161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,9808

LCM of Fractions 14/464,9808/7161 is 68656

2 14, 9808
7, 4904

∴ So the LCM of the given numbers is 2 x 7 x 4904 = 68656

Least Common Multiple of 14,9808 with GCF Formula

Least Common Multiple of 14,9808 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 14,9808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,9808) = 2

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

GCF(14,9808) x common factors =2 x 1 = 2

LCM(14,9808) = ( 14 × 9808 ) / 2

LCM(14,9808) = 137312 / 2

LCM(14,9808) = 68656


Lets's calculate GCF of 464,7161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68656/1

Therefore the LCM of Fractions 14/464,9808/7161 is 68656

Greatest Common Factor of 464,7161 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,7161 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 7161

List of positive integer factors of 7161 that divides 7161 without a remainder.

1,3,7,11,21,31,33,77,93,217,231,341,651,1023,2387,7161

Greatest Common Factor

We found the factors 464,7161 . The biggest common factor number is the GCF number.
So the greatest common factor 464,7161 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 14/464, 9808/7161

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 14/464, 9808/7161?

Answer: LCM of Numerators as per given numbers 14/464, 9808/7161 is

LCM of Numerators i.e. for 14,9808 is 68656

GCF of denominators i.e. for 464,7161 is 1.

Thus, LCM of Fractions is 68656.Finally, LCM of Fractions for 14/464, 9808/7161 is 68656.