Least Common Multiple of 904/330, 740/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/330, 740/650 quickly i.e. 16724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/330, 740/650 is 16724.

LCM(904/330, 740/650) = 16724

LCM of 904/330, 740/650

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 904/330,740/650

Given numbers are 904/330,740/650

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 904,740

Least Common Multiple of Numerators i.e. LCM of 904,740 is 167240.

GCF of Denominators means GCF of 330,650 as per the given fractions.

GCF of 330,650 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,740

LCM of Fractions 904/330,740/650 is 16724

2 904, 740
2 452, 370
226, 185

∴ So the LCM of the given numbers is 2 x 2 x 226 x 185 = 167240

Least Common Multiple of 904,740 with GCF Formula

Least Common Multiple of 904,740 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 904,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,740) = 4

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

GCF(904,740) x common factors =4 x 1 = 4

LCM(904,740) = ( 904 × 740 ) / 4

LCM(904,740) = 668960 / 4

LCM(904,740) = 167240


Lets's calculate GCF of 330,650

2 330, 650
5 165, 325
33, 65

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167240/10

Therefore the LCM of Fractions 904/330,740/650 is 16724

Greatest Common Factor of 330,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,650 By Matching Biggest Common Factor Method

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

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 330,650 . The biggest common factor number is the GCF number.
So the greatest common factor 330,650 is 10.


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 904/330, 740/650

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 904/330, 740/650?

Answer: LCM of Numerators as per given numbers 904/330, 740/650 is

LCM of Numerators i.e. for 904,740 is 167240

GCF of denominators i.e. for 330,650 is 10.

Thus, LCM of Fractions is 16724.Finally, LCM of Fractions for 904/330, 740/650 is 16724.