Least Common Multiple of 678/199, 8601/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/199, 8601/918 quickly i.e. 1943826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/199, 8601/918 is 1943826.

LCM(678/199, 8601/918) = 1943826

LCM of 678/199, 8601/918

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 678/199,8601/918

Given numbers are 678/199,8601/918

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 678,8601

Least Common Multiple of Numerators i.e. LCM of 678,8601 is 1943826.

GCF of Denominators means GCF of 199,918 as per the given fractions.

GCF of 199,918 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,8601

LCM of Fractions 678/199,8601/918 is 1943826

3 678, 8601
226, 2867

∴ So the LCM of the given numbers is 3 x 226 x 2867 = 1943826

Least Common Multiple of 678,8601 with GCF Formula

Least Common Multiple of 678,8601 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 678,8601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,8601) = 3

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

GCF(678,8601) x common factors =3 x 1 = 3

LCM(678,8601) = ( 678 × 8601 ) / 3

LCM(678,8601) = 5831478 / 3

LCM(678,8601) = 1943826


Lets's calculate GCF of 199,918

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1943826/1

Therefore the LCM of Fractions 678/199,8601/918 is 1943826

Greatest Common Factor of 199,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,918 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 199,918 . The biggest common factor number is the GCF number.
So the greatest common factor 199,918 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 678/199, 8601/918

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 678/199, 8601/918?

Answer: LCM of Numerators as per given numbers 678/199, 8601/918 is

LCM of Numerators i.e. for 678,8601 is 1943826

GCF of denominators i.e. for 199,918 is 1.

Thus, LCM of Fractions is 1943826.Finally, LCM of Fractions for 678/199, 8601/918 is 1943826.