Least Common Multiple of 42/190, 429/350, 420/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/190, 429/350, 420/605 quickly i.e. 12012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/190, 429/350, 420/605 is 12012.

LCM(42/190, 429/350, 420/605) = 12012

LCM of 42/190, 429/350, 420/605

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 42/190,429/350,420/605

Given numbers are 42/190,429/350,420/605

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 42,429,420

Least Common Multiple of Numerators i.e. LCM of 42,429,420 is 60060.

GCF of Denominators means GCF of 190,350,605 as per the given fractions.

GCF of 190,350,605 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,429,420

LCM of Fractions 42/190,429/350,420/605 is 12012

2 42, 429, 420
3 21, 429, 210
7 7, 143, 70
1, 143, 10

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 143 x 10 = 60060

Least Common Multiple of 42,429,420 with GCF Formula

Least Common Multiple of 42,429,420 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 42,429,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,429,420) = 3

common factors(in case of two or more numbers have common factors) = 42

GCF(42,429,420) x common factors =3 x 42 = 126

LCM(42,429,420) = ( 42 × 429 × 420 ) / 126

LCM(42,429,420) = 7567560 / 126

LCM(42,429,420) = 60060


Lets's calculate GCF of 190,350,605

5 190, 350, 605
38, 70, 121

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60060/5

Therefore the LCM of Fractions 42/190,429/350,420/605 is 12012

Greatest Common Factor of 190,350,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,350,605 By Matching Biggest Common Factor Method

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 190,350,605 . The biggest common factor number is the GCF number.
So the greatest common factor 190,350,605 is 5.


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 42/190, 429/350, 420/605

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 42/190, 429/350, 420/605?

Answer: LCM of Numerators as per given numbers 42/190, 429/350, 420/605 is

LCM of Numerators i.e. for 42,429,420 is 60060

GCF of denominators i.e. for 190,350,605 is 5.

Thus, LCM of Fractions is 12012.Finally, LCM of Fractions for 42/190, 429/350, 420/605 is 12012.