Least Common Multiple of 678/89, 886/9736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/89, 886/9736 quickly i.e. 300354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/89, 886/9736 is 300354.

LCM(678/89, 886/9736) = 300354

LCM of 678/89, 886/9736

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 678/89,886/9736

Given numbers are 678/89,886/9736

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 678,886

Least Common Multiple of Numerators i.e. LCM of 678,886 is 300354.

GCF of Denominators means GCF of 89,9736 as per the given fractions.

GCF of 89,9736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,886

LCM of Fractions 678/89,886/9736 is 300354

2 678, 886
339, 443

∴ So the LCM of the given numbers is 2 x 339 x 443 = 300354

Least Common Multiple of 678,886 with GCF Formula

Least Common Multiple of 678,886 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 678,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,886) = 2

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

GCF(678,886) x common factors =2 x 1 = 2

LCM(678,886) = ( 678 × 886 ) / 2

LCM(678,886) = 600708 / 2

LCM(678,886) = 300354


Lets's calculate GCF of 89,9736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300354/1

Therefore the LCM of Fractions 678/89,886/9736 is 300354

Greatest Common Factor of 89,9736 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,9736 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 9736

List of positive integer factors of 9736 that divides 9736 without a remainder.

1,2,4,8,1217,2434,4868,9736

Greatest Common Factor

We found the factors 89,9736 . The biggest common factor number is the GCF number.
So the greatest common factor 89,9736 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 678/89, 886/9736

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 678/89, 886/9736?

Answer: LCM of Numerators as per given numbers 678/89, 886/9736 is

LCM of Numerators i.e. for 678,886 is 300354

GCF of denominators i.e. for 89,9736 is 1.

Thus, LCM of Fractions is 300354.Finally, LCM of Fractions for 678/89, 886/9736 is 300354.