Least Common Multiple of 462/486, 3942/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/486, 3942/884 quickly i.e. 151767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/486, 3942/884 is 151767.

LCM(462/486, 3942/884) = 151767

LCM of 462/486, 3942/884

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 462/486,3942/884

Given numbers are 462/486,3942/884

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 462,3942

Least Common Multiple of Numerators i.e. LCM of 462,3942 is 303534.

GCF of Denominators means GCF of 486,884 as per the given fractions.

GCF of 486,884 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,3942

LCM of Fractions 462/486,3942/884 is 151767

2 462, 3942
3 231, 1971
77, 657

∴ So the LCM of the given numbers is 2 x 3 x 77 x 657 = 303534

Least Common Multiple of 462,3942 with GCF Formula

Least Common Multiple of 462,3942 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 462,3942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,3942) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(462,3942) x common factors =6 x 1 = 6

LCM(462,3942) = ( 462 × 3942 ) / 6

LCM(462,3942) = 1821204 / 6

LCM(462,3942) = 303534


Lets's calculate GCF of 486,884

2 486, 884
243, 442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303534/2

Therefore the LCM of Fractions 462/486,3942/884 is 151767

Greatest Common Factor of 486,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,884 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 486,884 . The biggest common factor number is the GCF number.
So the greatest common factor 486,884 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 462/486, 3942/884

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 462/486, 3942/884?

Answer: LCM of Numerators as per given numbers 462/486, 3942/884 is

LCM of Numerators i.e. for 462,3942 is 303534

GCF of denominators i.e. for 486,884 is 2.

Thus, LCM of Fractions is 151767.Finally, LCM of Fractions for 462/486, 3942/884 is 151767.