Least Common Multiple of 42/901, 19/511, 579/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/901, 19/511, 579/206 quickly i.e. 154014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/901, 19/511, 579/206 is 154014.

LCM(42/901, 19/511, 579/206) = 154014

LCM of 42/901, 19/511, 579/206

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 42/901,19/511,579/206

Given numbers are 42/901,19/511,579/206

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 42,19,579

Least Common Multiple of Numerators i.e. LCM of 42,19,579 is 154014.

GCF of Denominators means GCF of 901,511,206 as per the given fractions.

GCF of 901,511,206 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,19,579

LCM of Fractions 42/901,19/511,579/206 is 154014

3 42, 19, 579
14, 19, 193

∴ So the LCM of the given numbers is 3 x 14 x 19 x 193 = 154014

Least Common Multiple of 42,19,579 with GCF Formula

Least Common Multiple of 42,19,579 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 42,19,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,19,579) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(42,19,579) x common factors =1 x 3 = 3

LCM(42,19,579) = ( 42 × 19 × 579 ) / 3

LCM(42,19,579) = 462042 / 3

LCM(42,19,579) = 154014


Lets's calculate GCF of 901,511,206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154014/1

Therefore the LCM of Fractions 42/901,19/511,579/206 is 154014

Greatest Common Factor of 901,511,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,511,206 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 901,511,206 . The biggest common factor number is the GCF number.
So the greatest common factor 901,511,206 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 42/901, 19/511, 579/206

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 42/901, 19/511, 579/206?

Answer: LCM of Numerators as per given numbers 42/901, 19/511, 579/206 is

LCM of Numerators i.e. for 42,19,579 is 154014

GCF of denominators i.e. for 901,511,206 is 1.

Thus, LCM of Fractions is 154014.Finally, LCM of Fractions for 42/901, 19/511, 579/206 is 154014.