Least Common Multiple of 56/492, 67/171, 482/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/492, 67/171, 482/552 quickly i.e. 904232/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/492, 67/171, 482/552 is 904232/3.

LCM(56/492, 67/171, 482/552) = 904232/3

LCM of 56/492, 67/171, 482/552

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 56/492,67/171,482/552

Given numbers are 56/492,67/171,482/552

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 56,67,482

Least Common Multiple of Numerators i.e. LCM of 56,67,482 is 904232.

GCF of Denominators means GCF of 492,171,552 as per the given fractions.

GCF of 492,171,552 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,67,482

LCM of Fractions 56/492,67/171,482/552 is 904232/3

2 56, 67, 482
28, 67, 241

∴ So the LCM of the given numbers is 2 x 28 x 67 x 241 = 904232

Least Common Multiple of 56,67,482 with GCF Formula

Least Common Multiple of 56,67,482 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 56,67,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,67,482) = 1

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

GCF(56,67,482) x common factors =1 x 2 = 2

LCM(56,67,482) = ( 56 × 67 × 482 ) / 2

LCM(56,67,482) = 1808464 / 2

LCM(56,67,482) = 904232


Lets's calculate GCF of 492,171,552

3 492, 171, 552
164, 57, 184

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 904232/3

Therefore the LCM of Fractions 56/492,67/171,482/552 is 904232/3

Greatest Common Factor of 492,171,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,171,552 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 492,171,552 . The biggest common factor number is the GCF number.
So the greatest common factor 492,171,552 is 3.


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 56/492, 67/171, 482/552

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 56/492, 67/171, 482/552?

Answer: LCM of Numerators as per given numbers 56/492, 67/171, 482/552 is

LCM of Numerators i.e. for 56,67,482 is 904232

GCF of denominators i.e. for 492,171,552 is 3.

Thus, LCM of Fractions is 904232/3.Finally, LCM of Fractions for 56/492, 67/171, 482/552 is 904232/3.