Least Common Multiple of 264/12, 624/42, 614/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/12, 624/42, 614/270 quickly i.e. 351208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/12, 624/42, 614/270 is 351208.

LCM(264/12, 624/42, 614/270) = 351208

LCM of 264/12, 624/42, 614/270

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 264/12,624/42,614/270

Given numbers are 264/12,624/42,614/270

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 264,624,614

Least Common Multiple of Numerators i.e. LCM of 264,624,614 is 2107248.

GCF of Denominators means GCF of 12,42,270 as per the given fractions.

GCF of 12,42,270 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,624,614

LCM of Fractions 264/12,624/42,614/270 is 351208

2 264, 624, 614
2 132, 312, 307
2 66, 156, 307
3 33, 78, 307
11, 26, 307

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 26 x 307 = 2107248

Least Common Multiple of 264,624,614 with GCF Formula

Least Common Multiple of 264,624,614 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 264,624,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,624,614) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(264,624,614) x common factors =2 x 24 = 48

LCM(264,624,614) = ( 264 × 624 × 614 ) / 48

LCM(264,624,614) = 101147904 / 48

LCM(264,624,614) = 2107248


Lets's calculate GCF of 12,42,270

2 12, 42, 270
3 6, 21, 135
2, 7, 45

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2107248/6

Therefore the LCM of Fractions 264/12,624/42,614/270 is 351208

Greatest Common Factor of 12,42,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,42,270 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 12,42,270 . The biggest common factor number is the GCF number.
So the greatest common factor 12,42,270 is 6.


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 264/12, 624/42, 614/270

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 264/12, 624/42, 614/270?

Answer: LCM of Numerators as per given numbers 264/12, 624/42, 614/270 is

LCM of Numerators i.e. for 264,624,614 is 2107248

GCF of denominators i.e. for 12,42,270 is 6.

Thus, LCM of Fractions is 351208.Finally, LCM of Fractions for 264/12, 624/42, 614/270 is 351208.