Least Common Multiple of 72/584, 832/604, 324/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/584, 832/604, 324/770 quickly i.e. 33696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/584, 832/604, 324/770 is 33696.

LCM(72/584, 832/604, 324/770) = 33696

LCM of 72/584, 832/604, 324/770

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 72/584,832/604,324/770

Given numbers are 72/584,832/604,324/770

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 72,832,324

Least Common Multiple of Numerators i.e. LCM of 72,832,324 is 67392.

GCF of Denominators means GCF of 584,604,770 as per the given fractions.

GCF of 584,604,770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,832,324

LCM of Fractions 72/584,832/604,324/770 is 33696

2 72, 832, 324
2 36, 416, 162
2 18, 208, 81
3 9, 104, 81
3 3, 104, 27
1, 104, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 104 x 9 = 67392

Least Common Multiple of 72,832,324 with GCF Formula

Least Common Multiple of 72,832,324 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 72,832,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,832,324) = 4

common factors(in case of two or more numbers have common factors) = 72

GCF(72,832,324) x common factors =4 x 72 = 288

LCM(72,832,324) = ( 72 × 832 × 324 ) / 288

LCM(72,832,324) = 19408896 / 288

LCM(72,832,324) = 67392


Lets's calculate GCF of 584,604,770

2 584, 604, 770
292, 302, 385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67392/2

Therefore the LCM of Fractions 72/584,832/604,324/770 is 33696

Greatest Common Factor of 584,604,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,604,770 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 584,604,770 . The biggest common factor number is the GCF number.
So the greatest common factor 584,604,770 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 72/584, 832/604, 324/770

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 72/584, 832/604, 324/770?

Answer: LCM of Numerators as per given numbers 72/584, 832/604, 324/770 is

LCM of Numerators i.e. for 72,832,324 is 67392

GCF of denominators i.e. for 584,604,770 is 2.

Thus, LCM of Fractions is 33696.Finally, LCM of Fractions for 72/584, 832/604, 324/770 is 33696.