Least Common Multiple of 14/659, 9920/8134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/659, 9920/8134 quickly i.e. 69440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/659, 9920/8134 is 69440.

LCM(14/659, 9920/8134) = 69440

LCM of 14/659, 9920/8134

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 14/659,9920/8134

Given numbers are 14/659,9920/8134

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 14,9920

Least Common Multiple of Numerators i.e. LCM of 14,9920 is 69440.

GCF of Denominators means GCF of 659,8134 as per the given fractions.

GCF of 659,8134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,9920

LCM of Fractions 14/659,9920/8134 is 69440

2 14, 9920
7, 4960

∴ So the LCM of the given numbers is 2 x 7 x 4960 = 69440

Least Common Multiple of 14,9920 with GCF Formula

Least Common Multiple of 14,9920 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 14,9920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,9920) = 2

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

GCF(14,9920) x common factors =2 x 1 = 2

LCM(14,9920) = ( 14 × 9920 ) / 2

LCM(14,9920) = 138880 / 2

LCM(14,9920) = 69440


Lets's calculate GCF of 659,8134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69440/1

Therefore the LCM of Fractions 14/659,9920/8134 is 69440

Greatest Common Factor of 659,8134 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,8134 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1,2,7,14,49,83,98,166,581,1162,4067,8134

Greatest Common Factor

We found the factors 659,8134 . The biggest common factor number is the GCF number.
So the greatest common factor 659,8134 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 14/659, 9920/8134

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 14/659, 9920/8134?

Answer: LCM of Numerators as per given numbers 14/659, 9920/8134 is

LCM of Numerators i.e. for 14,9920 is 69440

GCF of denominators i.e. for 659,8134 is 1.

Thus, LCM of Fractions is 69440.Finally, LCM of Fractions for 14/659, 9920/8134 is 69440.