Least Common Multiple of 190/34, 194/55, 144/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 190/34, 194/55, 144/371 quickly i.e. 1326960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 190/34, 194/55, 144/371 is 1326960.

LCM(190/34, 194/55, 144/371) = 1326960

LCM of 190/34, 194/55, 144/371

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 190/34,194/55,144/371

Given numbers are 190/34,194/55,144/371

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 190,194,144

Least Common Multiple of Numerators i.e. LCM of 190,194,144 is 1326960.

GCF of Denominators means GCF of 34,55,371 as per the given fractions.

GCF of 34,55,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 190,194,144

LCM of Fractions 190/34,194/55,144/371 is 1326960

2 190, 194, 144
95, 97, 72

∴ So the LCM of the given numbers is 2 x 95 x 97 x 72 = 1326960

Least Common Multiple of 190,194,144 with GCF Formula

Least Common Multiple of 190,194,144 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 190,194,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,194,144) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(190,194,144) x common factors =2 x 2 = 4

LCM(190,194,144) = ( 190 × 194 × 144 ) / 4

LCM(190,194,144) = 5307840 / 4

LCM(190,194,144) = 1326960


Lets's calculate GCF of 34,55,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1326960/1

Therefore the LCM of Fractions 190/34,194/55,144/371 is 1326960

Greatest Common Factor of 34,55,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,55,371 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 34,55,371 . The biggest common factor number is the GCF number.
So the greatest common factor 34,55,371 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 190/34, 194/55, 144/371

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 190/34, 194/55, 144/371?

Answer: LCM of Numerators as per given numbers 190/34, 194/55, 144/371 is

LCM of Numerators i.e. for 190,194,144 is 1326960

GCF of denominators i.e. for 34,55,371 is 1.

Thus, LCM of Fractions is 1326960.Finally, LCM of Fractions for 190/34, 194/55, 144/371 is 1326960.