Least Common Multiple of 494/46, 506/14, 654/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/46, 506/14, 654/542 quickly i.e. 20434557 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/46, 506/14, 654/542 is 20434557.

LCM(494/46, 506/14, 654/542) = 20434557

LCM of 494/46, 506/14, 654/542

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 494/46,506/14,654/542

Given numbers are 494/46,506/14,654/542

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 494,506,654

Least Common Multiple of Numerators i.e. LCM of 494,506,654 is 40869114.

GCF of Denominators means GCF of 46,14,542 as per the given fractions.

GCF of 46,14,542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,506,654

LCM of Fractions 494/46,506/14,654/542 is 20434557

2 494, 506, 654
247, 253, 327

∴ So the LCM of the given numbers is 2 x 247 x 253 x 327 = 40869114

Least Common Multiple of 494,506,654 with GCF Formula

Least Common Multiple of 494,506,654 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 494,506,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,506,654) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(494,506,654) x common factors =2 x 2 = 4

LCM(494,506,654) = ( 494 × 506 × 654 ) / 4

LCM(494,506,654) = 163476456 / 4

LCM(494,506,654) = 40869114


Lets's calculate GCF of 46,14,542

2 46, 14, 542
23, 7, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40869114/2

Therefore the LCM of Fractions 494/46,506/14,654/542 is 20434557

Greatest Common Factor of 46,14,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,14,542 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 46,14,542 . The biggest common factor number is the GCF number.
So the greatest common factor 46,14,542 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 494/46, 506/14, 654/542

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 494/46, 506/14, 654/542?

Answer: LCM of Numerators as per given numbers 494/46, 506/14, 654/542 is

LCM of Numerators i.e. for 494,506,654 is 40869114

GCF of denominators i.e. for 46,14,542 is 2.

Thus, LCM of Fractions is 20434557.Finally, LCM of Fractions for 494/46, 506/14, 654/542 is 20434557.