Least Common Multiple of 462/42, 935/30, 139/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/42, 935/30, 139/321 quickly i.e. 1819510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/42, 935/30, 139/321 is 1819510.

LCM(462/42, 935/30, 139/321) = 1819510

LCM of 462/42, 935/30, 139/321

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 462/42,935/30,139/321

Given numbers are 462/42,935/30,139/321

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 462,935,139

Least Common Multiple of Numerators i.e. LCM of 462,935,139 is 5458530.

GCF of Denominators means GCF of 42,30,321 as per the given fractions.

GCF of 42,30,321 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,935,139

LCM of Fractions 462/42,935/30,139/321 is 1819510

11 462, 935, 139
42, 85, 139

∴ So the LCM of the given numbers is 11 x 42 x 85 x 139 = 5458530

Least Common Multiple of 462,935,139 with GCF Formula

Least Common Multiple of 462,935,139 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 462,935,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,935,139) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(462,935,139) x common factors =1 x 11 = 11

LCM(462,935,139) = ( 462 × 935 × 139 ) / 11

LCM(462,935,139) = 60043830 / 11

LCM(462,935,139) = 5458530


Lets's calculate GCF of 42,30,321

3 42, 30, 321
14, 10, 107

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5458530/3

Therefore the LCM of Fractions 462/42,935/30,139/321 is 1819510

Greatest Common Factor of 42,30,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,30,321 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 42,30,321 . The biggest common factor number is the GCF number.
So the greatest common factor 42,30,321 is 3.


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 462/42, 935/30, 139/321

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 462/42, 935/30, 139/321?

Answer: LCM of Numerators as per given numbers 462/42, 935/30, 139/321 is

LCM of Numerators i.e. for 462,935,139 is 5458530

GCF of denominators i.e. for 42,30,321 is 3.

Thus, LCM of Fractions is 1819510.Finally, LCM of Fractions for 462/42, 935/30, 139/321 is 1819510.