Least Common Multiple of 472/17, 548/1231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/17, 548/1231 quickly i.e. 64664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/17, 548/1231 is 64664.

LCM(472/17, 548/1231) = 64664

LCM of 472/17, 548/1231

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 472/17,548/1231

Given numbers are 472/17,548/1231

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 472,548

Least Common Multiple of Numerators i.e. LCM of 472,548 is 64664.

GCF of Denominators means GCF of 17,1231 as per the given fractions.

GCF of 17,1231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,548

LCM of Fractions 472/17,548/1231 is 64664

2 472, 548
2 236, 274
118, 137

∴ So the LCM of the given numbers is 2 x 2 x 118 x 137 = 64664

Least Common Multiple of 472,548 with GCF Formula

Least Common Multiple of 472,548 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 472,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,548) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(472,548) x common factors =4 x 1 = 4

LCM(472,548) = ( 472 × 548 ) / 4

LCM(472,548) = 258656 / 4

LCM(472,548) = 64664


Lets's calculate GCF of 17,1231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64664/1

Therefore the LCM of Fractions 472/17,548/1231 is 64664

Greatest Common Factor of 17,1231 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,1231 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 1231

List of positive integer factors of 1231 that divides 1231 without a remainder.

1,1231

Greatest Common Factor

We found the factors 17,1231 . The biggest common factor number is the GCF number.
So the greatest common factor 17,1231 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 472/17, 548/1231

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 472/17, 548/1231?

Answer: LCM of Numerators as per given numbers 472/17, 548/1231 is

LCM of Numerators i.e. for 472,548 is 64664

GCF of denominators i.e. for 17,1231 is 1.

Thus, LCM of Fractions is 64664.Finally, LCM of Fractions for 472/17, 548/1231 is 64664.