Least Common Multiple of 506/38, 137/22, 952/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/38, 137/22, 952/480 quickly i.e. 16498636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/38, 137/22, 952/480 is 16498636.

LCM(506/38, 137/22, 952/480) = 16498636

LCM of 506/38, 137/22, 952/480

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 506/38,137/22,952/480

Given numbers are 506/38,137/22,952/480

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 506,137,952

Least Common Multiple of Numerators i.e. LCM of 506,137,952 is 32997272.

GCF of Denominators means GCF of 38,22,480 as per the given fractions.

GCF of 38,22,480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,137,952

LCM of Fractions 506/38,137/22,952/480 is 16498636

2 506, 137, 952
253, 137, 476

∴ So the LCM of the given numbers is 2 x 253 x 137 x 476 = 32997272

Least Common Multiple of 506,137,952 with GCF Formula

Least Common Multiple of 506,137,952 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 506,137,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,137,952) = 1

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

GCF(506,137,952) x common factors =1 x 2 = 2

LCM(506,137,952) = ( 506 × 137 × 952 ) / 2

LCM(506,137,952) = 65994544 / 2

LCM(506,137,952) = 32997272


Lets's calculate GCF of 38,22,480

2 38, 22, 480
19, 11, 240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32997272/2

Therefore the LCM of Fractions 506/38,137/22,952/480 is 16498636

Greatest Common Factor of 38,22,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,22,480 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 38,22,480 . The biggest common factor number is the GCF number.
So the greatest common factor 38,22,480 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 506/38, 137/22, 952/480

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 506/38, 137/22, 952/480?

Answer: LCM of Numerators as per given numbers 506/38, 137/22, 952/480 is

LCM of Numerators i.e. for 506,137,952 is 32997272

GCF of denominators i.e. for 38,22,480 is 2.

Thus, LCM of Fractions is 16498636.Finally, LCM of Fractions for 506/38, 137/22, 952/480 is 16498636.