Least Common Multiple of 36/66, 971/68, 914/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/66, 971/68, 914/804 quickly i.e. 7987446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/66, 971/68, 914/804 is 7987446.

LCM(36/66, 971/68, 914/804) = 7987446

LCM of 36/66, 971/68, 914/804

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 36/66,971/68,914/804

Given numbers are 36/66,971/68,914/804

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 36,971,914

Least Common Multiple of Numerators i.e. LCM of 36,971,914 is 15974892.

GCF of Denominators means GCF of 66,68,804 as per the given fractions.

GCF of 66,68,804 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,971,914

LCM of Fractions 36/66,971/68,914/804 is 7987446

2 36, 971, 914
18, 971, 457

∴ So the LCM of the given numbers is 2 x 18 x 971 x 457 = 15974892

Least Common Multiple of 36,971,914 with GCF Formula

Least Common Multiple of 36,971,914 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 36,971,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,971,914) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(36,971,914) x common factors =1 x 2 = 2

LCM(36,971,914) = ( 36 × 971 × 914 ) / 2

LCM(36,971,914) = 31949784 / 2

LCM(36,971,914) = 15974892


Lets's calculate GCF of 66,68,804

2 66, 68, 804
33, 34, 402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15974892/2

Therefore the LCM of Fractions 36/66,971/68,914/804 is 7987446

Greatest Common Factor of 66,68,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,68,804 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 66,68,804 . The biggest common factor number is the GCF number.
So the greatest common factor 66,68,804 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 36/66, 971/68, 914/804

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 36/66, 971/68, 914/804?

Answer: LCM of Numerators as per given numbers 36/66, 971/68, 914/804 is

LCM of Numerators i.e. for 36,971,914 is 15974892

GCF of denominators i.e. for 66,68,804 is 2.

Thus, LCM of Fractions is 7987446.Finally, LCM of Fractions for 36/66, 971/68, 914/804 is 7987446.