Least Common Multiple of 36/102, 395/74, 771/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/102, 395/74, 771/810 quickly i.e. 1827270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/102, 395/74, 771/810 is 1827270.

LCM(36/102, 395/74, 771/810) = 1827270

LCM of 36/102, 395/74, 771/810

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 36/102,395/74,771/810

Given numbers are 36/102,395/74,771/810

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 36,395,771

Least Common Multiple of Numerators i.e. LCM of 36,395,771 is 3654540.

GCF of Denominators means GCF of 102,74,810 as per the given fractions.

GCF of 102,74,810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,395,771

LCM of Fractions 36/102,395/74,771/810 is 1827270

3 36, 395, 771
12, 395, 257

∴ So the LCM of the given numbers is 3 x 12 x 395 x 257 = 3654540

Least Common Multiple of 36,395,771 with GCF Formula

Least Common Multiple of 36,395,771 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 36,395,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,395,771) = 1

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

GCF(36,395,771) x common factors =1 x 3 = 3

LCM(36,395,771) = ( 36 × 395 × 771 ) / 3

LCM(36,395,771) = 10963620 / 3

LCM(36,395,771) = 3654540


Lets's calculate GCF of 102,74,810

2 102, 74, 810
51, 37, 405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3654540/2

Therefore the LCM of Fractions 36/102,395/74,771/810 is 1827270

Greatest Common Factor of 102,74,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,74,810 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 102,74,810 . The biggest common factor number is the GCF number.
So the greatest common factor 102,74,810 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 36/102, 395/74, 771/810

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 36/102, 395/74, 771/810?

Answer: LCM of Numerators as per given numbers 36/102, 395/74, 771/810 is

LCM of Numerators i.e. for 36,395,771 is 3654540

GCF of denominators i.e. for 102,74,810 is 2.

Thus, LCM of Fractions is 1827270.Finally, LCM of Fractions for 36/102, 395/74, 771/810 is 1827270.