Least Common Multiple of 27/248, 456/710, 646/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/248, 456/710, 646/330 quickly i.e. 34884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/248, 456/710, 646/330 is 34884.

LCM(27/248, 456/710, 646/330) = 34884

LCM of 27/248, 456/710, 646/330

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 27/248,456/710,646/330

Given numbers are 27/248,456/710,646/330

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 27,456,646

Least Common Multiple of Numerators i.e. LCM of 27,456,646 is 69768.

GCF of Denominators means GCF of 248,710,330 as per the given fractions.

GCF of 248,710,330 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,456,646

LCM of Fractions 27/248,456/710,646/330 is 34884

2 27, 456, 646
3 27, 228, 323
19 9, 76, 323
9, 4, 17

∴ So the LCM of the given numbers is 2 x 3 x 19 x 9 x 4 x 17 = 69768

Least Common Multiple of 27,456,646 with GCF Formula

Least Common Multiple of 27,456,646 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 27,456,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,456,646) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(27,456,646) x common factors =1 x 114 = 114

LCM(27,456,646) = ( 27 × 456 × 646 ) / 114

LCM(27,456,646) = 7953552 / 114

LCM(27,456,646) = 69768


Lets's calculate GCF of 248,710,330

2 248, 710, 330
124, 355, 165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69768/2

Therefore the LCM of Fractions 27/248,456/710,646/330 is 34884

Greatest Common Factor of 248,710,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,710,330 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 248,710,330 . The biggest common factor number is the GCF number.
So the greatest common factor 248,710,330 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 27/248, 456/710, 646/330

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 27/248, 456/710, 646/330?

Answer: LCM of Numerators as per given numbers 27/248, 456/710, 646/330 is

LCM of Numerators i.e. for 27,456,646 is 69768

GCF of denominators i.e. for 248,710,330 is 2.

Thus, LCM of Fractions is 34884.Finally, LCM of Fractions for 27/248, 456/710, 646/330 is 34884.