Least Common Multiple of 119/72, 492/18, 340/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 119/72, 492/18, 340/198 quickly i.e. 292740/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 119/72, 492/18, 340/198 is 292740/18.

LCM(119/72, 492/18, 340/198) = 292740/18

LCM of 119/72, 492/18, 340/198

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 119/72,492/18,340/198

Given numbers are 119/72,492/18,340/198

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 119,492,340

Least Common Multiple of Numerators i.e. LCM of 119,492,340 is 292740.

GCF of Denominators means GCF of 72,18,198 as per the given fractions.

GCF of 72,18,198 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 119,492,340

LCM of Fractions 119/72,492/18,340/198 is 292740/18

2 119, 492, 340
2 119, 246, 170
17 119, 123, 85
7, 123, 5

∴ So the LCM of the given numbers is 2 x 2 x 17 x 7 x 123 x 5 = 292740

Least Common Multiple of 119,492,340 with GCF Formula

Least Common Multiple of 119,492,340 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 119,492,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,492,340) = 1

common factors(in case of two or more numbers have common factors) = 68

GCF(119,492,340) x common factors =1 x 68 = 68

LCM(119,492,340) = ( 119 × 492 × 340 ) / 68

LCM(119,492,340) = 19906320 / 68

LCM(119,492,340) = 292740


Lets's calculate GCF of 72,18,198

2 72, 18, 198
3 36, 9, 99
3 12, 3, 33
4, 1, 11

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292740/18

Therefore the LCM of Fractions 119/72,492/18,340/198 is 292740/18

Greatest Common Factor of 72,18,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,18,198 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

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 72,18,198 . The biggest common factor number is the GCF number.
So the greatest common factor 72,18,198 is 18.


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 119/72, 492/18, 340/198

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 119/72, 492/18, 340/198?

Answer: LCM of Numerators as per given numbers 119/72, 492/18, 340/198 is

LCM of Numerators i.e. for 119,492,340 is 292740

GCF of denominators i.e. for 72,18,198 is 18.

Thus, LCM of Fractions is 292740/18.Finally, LCM of Fractions for 119/72, 492/18, 340/198 is 292740/18.