Least Common Multiple of 94/462, 77/159, 423/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/462, 77/159, 423/722 quickly i.e. 65142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/462, 77/159, 423/722 is 65142.

LCM(94/462, 77/159, 423/722) = 65142

LCM of 94/462, 77/159, 423/722

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 94/462,77/159,423/722

Given numbers are 94/462,77/159,423/722

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 94,77,423

Least Common Multiple of Numerators i.e. LCM of 94,77,423 is 65142.

GCF of Denominators means GCF of 462,159,722 as per the given fractions.

GCF of 462,159,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,77,423

LCM of Fractions 94/462,77/159,423/722 is 65142

47 94, 77, 423
2, 77, 9

∴ So the LCM of the given numbers is 47 x 2 x 77 x 9 = 65142

Least Common Multiple of 94,77,423 with GCF Formula

Least Common Multiple of 94,77,423 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 94,77,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,77,423) = 1

common factors(in case of two or more numbers have common factors) = 47

GCF(94,77,423) x common factors =1 x 47 = 47

LCM(94,77,423) = ( 94 × 77 × 423 ) / 47

LCM(94,77,423) = 3061674 / 47

LCM(94,77,423) = 65142


Lets's calculate GCF of 462,159,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65142/1

Therefore the LCM of Fractions 94/462,77/159,423/722 is 65142

Greatest Common Factor of 462,159,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,159,722 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 462,159,722 . The biggest common factor number is the GCF number.
So the greatest common factor 462,159,722 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 94/462, 77/159, 423/722

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 94/462, 77/159, 423/722?

Answer: LCM of Numerators as per given numbers 94/462, 77/159, 423/722 is

LCM of Numerators i.e. for 94,77,423 is 65142

GCF of denominators i.e. for 462,159,722 is 1.

Thus, LCM of Fractions is 65142.Finally, LCM of Fractions for 94/462, 77/159, 423/722 is 65142.