Least Common Multiple of 74/490, 20/952, 516/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/490, 20/952, 516/572 quickly i.e. 47730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/490, 20/952, 516/572 is 47730.

LCM(74/490, 20/952, 516/572) = 47730

LCM of 74/490, 20/952, 516/572

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 74/490,20/952,516/572

Given numbers are 74/490,20/952,516/572

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 74,20,516

Least Common Multiple of Numerators i.e. LCM of 74,20,516 is 95460.

GCF of Denominators means GCF of 490,952,572 as per the given fractions.

GCF of 490,952,572 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,20,516

LCM of Fractions 74/490,20/952,516/572 is 47730

2 74, 20, 516
2 37, 10, 258
37, 5, 129

∴ So the LCM of the given numbers is 2 x 2 x 37 x 5 x 129 = 95460

Least Common Multiple of 74,20,516 with GCF Formula

Least Common Multiple of 74,20,516 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 74,20,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,20,516) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(74,20,516) x common factors =2 x 4 = 8

LCM(74,20,516) = ( 74 × 20 × 516 ) / 8

LCM(74,20,516) = 763680 / 8

LCM(74,20,516) = 95460


Lets's calculate GCF of 490,952,572

2 490, 952, 572
245, 476, 286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95460/2

Therefore the LCM of Fractions 74/490,20/952,516/572 is 47730

Greatest Common Factor of 490,952,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,952,572 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 490,952,572 . The biggest common factor number is the GCF number.
So the greatest common factor 490,952,572 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 74/490, 20/952, 516/572

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 74/490, 20/952, 516/572?

Answer: LCM of Numerators as per given numbers 74/490, 20/952, 516/572 is

LCM of Numerators i.e. for 74,20,516 is 95460

GCF of denominators i.e. for 490,952,572 is 2.

Thus, LCM of Fractions is 47730.Finally, LCM of Fractions for 74/490, 20/952, 516/572 is 47730.