Least Common Multiple of 36/84, 33/217, 526/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/84, 33/217, 526/754 quickly i.e. 104148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/84, 33/217, 526/754 is 104148.

LCM(36/84, 33/217, 526/754) = 104148

LCM of 36/84, 33/217, 526/754

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 36/84,33/217,526/754

Given numbers are 36/84,33/217,526/754

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 36,33,526

Least Common Multiple of Numerators i.e. LCM of 36,33,526 is 104148.

GCF of Denominators means GCF of 84,217,754 as per the given fractions.

GCF of 84,217,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,33,526

LCM of Fractions 36/84,33/217,526/754 is 104148

2 36, 33, 526
3 18, 33, 263
6, 11, 263

∴ So the LCM of the given numbers is 2 x 3 x 6 x 11 x 263 = 104148

Least Common Multiple of 36,33,526 with GCF Formula

Least Common Multiple of 36,33,526 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 36,33,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,33,526) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(36,33,526) x common factors =1 x 6 = 6

LCM(36,33,526) = ( 36 × 33 × 526 ) / 6

LCM(36,33,526) = 624888 / 6

LCM(36,33,526) = 104148


Lets's calculate GCF of 84,217,754

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104148/1

Therefore the LCM of Fractions 36/84,33/217,526/754 is 104148

Greatest Common Factor of 84,217,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,217,754 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 84,217,754 . The biggest common factor number is the GCF number.
So the greatest common factor 84,217,754 is 1.


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 36/84, 33/217, 526/754

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 36/84, 33/217, 526/754?

Answer: LCM of Numerators as per given numbers 36/84, 33/217, 526/754 is

LCM of Numerators i.e. for 36,33,526 is 104148

GCF of denominators i.e. for 84,217,754 is 1.

Thus, LCM of Fractions is 104148.Finally, LCM of Fractions for 36/84, 33/217, 526/754 is 104148.