Least Common Multiple of 59/216, 84/978, 602/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/216, 84/978, 602/198 quickly i.e. 35518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/216, 84/978, 602/198 is 35518.

LCM(59/216, 84/978, 602/198) = 35518

LCM of 59/216, 84/978, 602/198

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 59/216,84/978,602/198

Given numbers are 59/216,84/978,602/198

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 59,84,602

Least Common Multiple of Numerators i.e. LCM of 59,84,602 is 213108.

GCF of Denominators means GCF of 216,978,198 as per the given fractions.

GCF of 216,978,198 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,84,602

LCM of Fractions 59/216,84/978,602/198 is 35518

2 59, 84, 602
7 59, 42, 301
59, 6, 43

∴ So the LCM of the given numbers is 2 x 7 x 59 x 6 x 43 = 213108

Least Common Multiple of 59,84,602 with GCF Formula

Least Common Multiple of 59,84,602 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 59,84,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,84,602) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(59,84,602) x common factors =1 x 14 = 14

LCM(59,84,602) = ( 59 × 84 × 602 ) / 14

LCM(59,84,602) = 2983512 / 14

LCM(59,84,602) = 213108


Lets's calculate GCF of 216,978,198

2 216, 978, 198
3 108, 489, 99
36, 163, 33

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213108/6

Therefore the LCM of Fractions 59/216,84/978,602/198 is 35518

Greatest Common Factor of 216,978,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,978,198 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 216,978,198 . The biggest common factor number is the GCF number.
So the greatest common factor 216,978,198 is 6.


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 59/216, 84/978, 602/198

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 59/216, 84/978, 602/198?

Answer: LCM of Numerators as per given numbers 59/216, 84/978, 602/198 is

LCM of Numerators i.e. for 59,84,602 is 213108

GCF of denominators i.e. for 216,978,198 is 6.

Thus, LCM of Fractions is 35518.Finally, LCM of Fractions for 59/216, 84/978, 602/198 is 35518.