Least Common Multiple of 218/80, 994/96, 497/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/80, 994/96, 497/834 quickly i.e. 54173 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/80, 994/96, 497/834 is 54173.

LCM(218/80, 994/96, 497/834) = 54173

LCM of 218/80, 994/96, 497/834

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 218/80,994/96,497/834

Given numbers are 218/80,994/96,497/834

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 218,994,497

Least Common Multiple of Numerators i.e. LCM of 218,994,497 is 108346.

GCF of Denominators means GCF of 80,96,834 as per the given fractions.

GCF of 80,96,834 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,994,497

LCM of Fractions 218/80,994/96,497/834 is 54173

2 218, 994, 497
7 109, 497, 497
71 109, 71, 71
109, 1, 1

∴ So the LCM of the given numbers is 2 x 7 x 71 x 109 x 1 x 1 = 108346

Least Common Multiple of 218,994,497 with GCF Formula

Least Common Multiple of 218,994,497 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 218,994,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,994,497) = 1

common factors(in case of two or more numbers have common factors) = 994

GCF(218,994,497) x common factors =1 x 994 = 994

LCM(218,994,497) = ( 218 × 994 × 497 ) / 994

LCM(218,994,497) = 107695924 / 994

LCM(218,994,497) = 108346


Lets's calculate GCF of 80,96,834

2 80, 96, 834
40, 48, 417

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108346/2

Therefore the LCM of Fractions 218/80,994/96,497/834 is 54173

Greatest Common Factor of 80,96,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,96,834 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 80,96,834 . The biggest common factor number is the GCF number.
So the greatest common factor 80,96,834 is 2.


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 218/80, 994/96, 497/834

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 218/80, 994/96, 497/834?

Answer: LCM of Numerators as per given numbers 218/80, 994/96, 497/834 is

LCM of Numerators i.e. for 218,994,497 is 108346

GCF of denominators i.e. for 80,96,834 is 2.

Thus, LCM of Fractions is 54173.Finally, LCM of Fractions for 218/80, 994/96, 497/834 is 54173.