Least Common Multiple of 36/528, 724/964, 115/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/528, 724/964, 115/192 quickly i.e. 187335 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/528, 724/964, 115/192 is 187335.

LCM(36/528, 724/964, 115/192) = 187335

LCM of 36/528, 724/964, 115/192

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 36/528,724/964,115/192

Given numbers are 36/528,724/964,115/192

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 36,724,115

Least Common Multiple of Numerators i.e. LCM of 36,724,115 is 749340.

GCF of Denominators means GCF of 528,964,192 as per the given fractions.

GCF of 528,964,192 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,724,115

LCM of Fractions 36/528,724/964,115/192 is 187335

2 36, 724, 115
2 18, 362, 115
9, 181, 115

∴ So the LCM of the given numbers is 2 x 2 x 9 x 181 x 115 = 749340

Least Common Multiple of 36,724,115 with GCF Formula

Least Common Multiple of 36,724,115 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 36,724,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,724,115) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(36,724,115) x common factors =1 x 4 = 4

LCM(36,724,115) = ( 36 × 724 × 115 ) / 4

LCM(36,724,115) = 2997360 / 4

LCM(36,724,115) = 749340


Lets's calculate GCF of 528,964,192

2 528, 964, 192
2 264, 482, 96
132, 241, 48

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 749340/4

Therefore the LCM of Fractions 36/528,724/964,115/192 is 187335

Greatest Common Factor of 528,964,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,964,192 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 528,964,192 . The biggest common factor number is the GCF number.
So the greatest common factor 528,964,192 is 4.


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 36/528, 724/964, 115/192

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 36/528, 724/964, 115/192?

Answer: LCM of Numerators as per given numbers 36/528, 724/964, 115/192 is

LCM of Numerators i.e. for 36,724,115 is 749340

GCF of denominators i.e. for 528,964,192 is 4.

Thus, LCM of Fractions is 187335.Finally, LCM of Fractions for 36/528, 724/964, 115/192 is 187335.