Least Common Multiple of 768/14, 551/8989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/14, 551/8989 quickly i.e. 423168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/14, 551/8989 is 423168.

LCM(768/14, 551/8989) = 423168

LCM of 768/14, 551/8989

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 768/14,551/8989

Given numbers are 768/14,551/8989

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 768,551

Least Common Multiple of Numerators i.e. LCM of 768,551 is 423168.

GCF of Denominators means GCF of 14,8989 as per the given fractions.

GCF of 14,8989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,551

LCM of Fractions 768/14,551/8989 is 423168

Given numbers has no common factors except 1. So, there LCM is their product i.e 423168

Least Common Multiple of 768,551 with GCF Formula

Least Common Multiple of 768,551 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 768,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,551) = 1

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

GCF(768,551) x common factors =1 x 1 = 1

LCM(768,551) = ( 768 × 551 ) / 1

LCM(768,551) = 423168 / 1

LCM(768,551) = 423168


Lets's calculate GCF of 14,8989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 423168/1

Therefore the LCM of Fractions 768/14,551/8989 is 423168

Greatest Common Factor of 14,8989 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,8989 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 8989

List of positive integer factors of 8989 that divides 8989 without a remainder.

1,89,101,8989

Greatest Common Factor

We found the factors 14,8989 . The biggest common factor number is the GCF number.
So the greatest common factor 14,8989 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 768/14, 551/8989

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 768/14, 551/8989?

Answer: LCM of Numerators as per given numbers 768/14, 551/8989 is

LCM of Numerators i.e. for 768,551 is 423168

GCF of denominators i.e. for 14,8989 is 1.

Thus, LCM of Fractions is 423168.Finally, LCM of Fractions for 768/14, 551/8989 is 423168.