Least Common Multiple of 8399/854, 1989/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8399/854, 1989/366 quickly i.e. 16705611/122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8399/854, 1989/366 is 16705611/122.

LCM(8399/854, 1989/366) = 16705611/122

LCM of 8399/854, 1989/366

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 8399/854,1989/366

Given numbers are 8399/854,1989/366

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 8399,1989

Least Common Multiple of Numerators i.e. LCM of 8399,1989 is 16705611.

GCF of Denominators means GCF of 854,366 as per the given fractions.

GCF of 854,366 is 122 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8399,1989

LCM of Fractions 8399/854,1989/366 is 16705611/122

Given numbers has no common factors except 1. So, there LCM is their product i.e 16705611

Least Common Multiple of 8399,1989 with GCF Formula

Least Common Multiple of 8399,1989 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 8399,1989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8399,1989) = 1

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

GCF(8399,1989) x common factors =1 x 1 = 1

LCM(8399,1989) = ( 8399 × 1989 ) / 1

LCM(8399,1989) = 16705611 / 1

LCM(8399,1989) = 16705611


Lets's calculate GCF of 854,366

2 854, 366
61 427, 183
7, 3

∴ So the GCF of the given numbers is 2 x 61 = 122

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16705611/122

Therefore the LCM of Fractions 8399/854,1989/366 is 16705611/122

Greatest Common Factor of 854,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,366 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 854,366 . The biggest common factor number is the GCF number.
So the greatest common factor 854,366 is 122.


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Frequently Asked Questions on Fractional LCM of 8399/854, 1989/366

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 8399/854, 1989/366?

Answer: LCM of Numerators as per given numbers 8399/854, 1989/366 is

LCM of Numerators i.e. for 8399,1989 is 16705611

GCF of denominators i.e. for 854,366 is 122.

Thus, LCM of Fractions is 16705611/122.Finally, LCM of Fractions for 8399/854, 1989/366 is 16705611/122.