Least Common Multiple of 36/38, 51/696, 365/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/38, 51/696, 365/736 quickly i.e. 111690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/38, 51/696, 365/736 is 111690.

LCM(36/38, 51/696, 365/736) = 111690

LCM of 36/38, 51/696, 365/736

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 36/38,51/696,365/736

Given numbers are 36/38,51/696,365/736

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 36,51,365

Least Common Multiple of Numerators i.e. LCM of 36,51,365 is 223380.

GCF of Denominators means GCF of 38,696,736 as per the given fractions.

GCF of 38,696,736 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,51,365

LCM of Fractions 36/38,51/696,365/736 is 111690

3 36, 51, 365
12, 17, 365

∴ So the LCM of the given numbers is 3 x 12 x 17 x 365 = 223380

Least Common Multiple of 36,51,365 with GCF Formula

Least Common Multiple of 36,51,365 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 36,51,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,51,365) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(36,51,365) x common factors =1 x 3 = 3

LCM(36,51,365) = ( 36 × 51 × 365 ) / 3

LCM(36,51,365) = 670140 / 3

LCM(36,51,365) = 223380


Lets's calculate GCF of 38,696,736

2 38, 696, 736
19, 348, 368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223380/2

Therefore the LCM of Fractions 36/38,51/696,365/736 is 111690

Greatest Common Factor of 38,696,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,696,736 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 38,696,736 . The biggest common factor number is the GCF number.
So the greatest common factor 38,696,736 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 36/38, 51/696, 365/736

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 36/38, 51/696, 365/736?

Answer: LCM of Numerators as per given numbers 36/38, 51/696, 365/736 is

LCM of Numerators i.e. for 36,51,365 is 223380

GCF of denominators i.e. for 38,696,736 is 2.

Thus, LCM of Fractions is 111690.Finally, LCM of Fractions for 36/38, 51/696, 365/736 is 111690.