Least Common Multiple of 55/390, 292/125, 198/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/390, 292/125, 198/704 quickly i.e. 144540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/390, 292/125, 198/704 is 144540.

LCM(55/390, 292/125, 198/704) = 144540

LCM of 55/390, 292/125, 198/704

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 55/390,292/125,198/704

Given numbers are 55/390,292/125,198/704

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 55,292,198

Least Common Multiple of Numerators i.e. LCM of 55,292,198 is 144540.

GCF of Denominators means GCF of 390,125,704 as per the given fractions.

GCF of 390,125,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,292,198

LCM of Fractions 55/390,292/125,198/704 is 144540

2 55, 292, 198
11 55, 146, 99
5, 146, 9

∴ So the LCM of the given numbers is 2 x 11 x 5 x 146 x 9 = 144540

Least Common Multiple of 55,292,198 with GCF Formula

Least Common Multiple of 55,292,198 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 55,292,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,292,198) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(55,292,198) x common factors =1 x 22 = 22

LCM(55,292,198) = ( 55 × 292 × 198 ) / 22

LCM(55,292,198) = 3179880 / 22

LCM(55,292,198) = 144540


Lets's calculate GCF of 390,125,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144540/1

Therefore the LCM of Fractions 55/390,292/125,198/704 is 144540

Greatest Common Factor of 390,125,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,125,704 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 390,125,704 . The biggest common factor number is the GCF number.
So the greatest common factor 390,125,704 is 1.


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 55/390, 292/125, 198/704

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 55/390, 292/125, 198/704?

Answer: LCM of Numerators as per given numbers 55/390, 292/125, 198/704 is

LCM of Numerators i.e. for 55,292,198 is 144540

GCF of denominators i.e. for 390,125,704 is 1.

Thus, LCM of Fractions is 144540.Finally, LCM of Fractions for 55/390, 292/125, 198/704 is 144540.