Least Common Multiple of 342/72, 904/9504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/72, 904/9504 quickly i.e. 2147 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/72, 904/9504 is 2147.

LCM(342/72, 904/9504) = 2147

LCM of 342/72, 904/9504

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 342/72,904/9504

Given numbers are 342/72,904/9504

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 342,904

Least Common Multiple of Numerators i.e. LCM of 342,904 is 154584.

GCF of Denominators means GCF of 72,9504 as per the given fractions.

GCF of 72,9504 is 72 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,904

LCM of Fractions 342/72,904/9504 is 2147

2 342, 904
171, 452

∴ So the LCM of the given numbers is 2 x 171 x 452 = 154584

Least Common Multiple of 342,904 with GCF Formula

Least Common Multiple of 342,904 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 342,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,904) = 2

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

GCF(342,904) x common factors =2 x 1 = 2

LCM(342,904) = ( 342 × 904 ) / 2

LCM(342,904) = 309168 / 2

LCM(342,904) = 154584


Lets's calculate GCF of 72,9504

2 72, 9504
2 36, 4752
2 18, 2376
3 9, 1188
3 3, 396
1, 132

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154584/72

Therefore the LCM of Fractions 342/72,904/9504 is 2147

Greatest Common Factor of 72,9504 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,9504 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 9504

List of positive integer factors of 9504 that divides 9504 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504

Greatest Common Factor

We found the factors 72,9504 . The biggest common factor number is the GCF number.
So the greatest common factor 72,9504 is 72.


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 342/72, 904/9504

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 342/72, 904/9504?

Answer: LCM of Numerators as per given numbers 342/72, 904/9504 is

LCM of Numerators i.e. for 342,904 is 154584

GCF of denominators i.e. for 72,9504 is 72.

Thus, LCM of Fractions is 2147.Finally, LCM of Fractions for 342/72, 904/9504 is 2147.