Least Common Multiple of 895/86, 438/73, 198/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 895/86, 438/73, 198/121 quickly i.e. 12936330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 895/86, 438/73, 198/121 is 12936330.

LCM(895/86, 438/73, 198/121) = 12936330

LCM of 895/86, 438/73, 198/121

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 895/86,438/73,198/121

Given numbers are 895/86,438/73,198/121

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 895,438,198

Least Common Multiple of Numerators i.e. LCM of 895,438,198 is 12936330.

GCF of Denominators means GCF of 86,73,121 as per the given fractions.

GCF of 86,73,121 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 895,438,198

LCM of Fractions 895/86,438/73,198/121 is 12936330

2 895, 438, 198
3 895, 219, 99
895, 73, 33

∴ So the LCM of the given numbers is 2 x 3 x 895 x 73 x 33 = 12936330

Least Common Multiple of 895,438,198 with GCF Formula

Least Common Multiple of 895,438,198 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 895,438,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,438,198) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(895,438,198) x common factors =1 x 6 = 6

LCM(895,438,198) = ( 895 × 438 × 198 ) / 6

LCM(895,438,198) = 77617980 / 6

LCM(895,438,198) = 12936330


Lets's calculate GCF of 86,73,121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12936330/1

Therefore the LCM of Fractions 895/86,438/73,198/121 is 12936330

Greatest Common Factor of 86,73,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,73,121 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 86,73,121 . The biggest common factor number is the GCF number.
So the greatest common factor 86,73,121 is 1.


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Frequently Asked Questions on Fractional LCM of 895/86, 438/73, 198/121

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 895/86, 438/73, 198/121?

Answer: LCM of Numerators as per given numbers 895/86, 438/73, 198/121 is

LCM of Numerators i.e. for 895,438,198 is 12936330

GCF of denominators i.e. for 86,73,121 is 1.

Thus, LCM of Fractions is 12936330.Finally, LCM of Fractions for 895/86, 438/73, 198/121 is 12936330.