Least Common Multiple of 42/782, 27/614, 433/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/782, 27/614, 433/258 quickly i.e. 81837 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/782, 27/614, 433/258 is 81837.

LCM(42/782, 27/614, 433/258) = 81837

LCM of 42/782, 27/614, 433/258

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 42/782,27/614,433/258

Given numbers are 42/782,27/614,433/258

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 42,27,433

Least Common Multiple of Numerators i.e. LCM of 42,27,433 is 163674.

GCF of Denominators means GCF of 782,614,258 as per the given fractions.

GCF of 782,614,258 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,27,433

LCM of Fractions 42/782,27/614,433/258 is 81837

3 42, 27, 433
14, 9, 433

∴ So the LCM of the given numbers is 3 x 14 x 9 x 433 = 163674

Least Common Multiple of 42,27,433 with GCF Formula

Least Common Multiple of 42,27,433 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 42,27,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,27,433) = 1

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

GCF(42,27,433) x common factors =1 x 3 = 3

LCM(42,27,433) = ( 42 × 27 × 433 ) / 3

LCM(42,27,433) = 491022 / 3

LCM(42,27,433) = 163674


Lets's calculate GCF of 782,614,258

2 782, 614, 258
391, 307, 129

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163674/2

Therefore the LCM of Fractions 42/782,27/614,433/258 is 81837

Greatest Common Factor of 782,614,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,614,258 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 782,614,258 . The biggest common factor number is the GCF number.
So the greatest common factor 782,614,258 is 2.


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 42/782, 27/614, 433/258

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 42/782, 27/614, 433/258?

Answer: LCM of Numerators as per given numbers 42/782, 27/614, 433/258 is

LCM of Numerators i.e. for 42,27,433 is 163674

GCF of denominators i.e. for 782,614,258 is 2.

Thus, LCM of Fractions is 81837.Finally, LCM of Fractions for 42/782, 27/614, 433/258 is 81837.