Least Common Multiple of 753/36, 821/92, 702/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/36, 821/92, 702/18 quickly i.e. 72330921 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/36, 821/92, 702/18 is 72330921.

LCM(753/36, 821/92, 702/18) = 72330921

LCM of 753/36, 821/92, 702/18

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 753/36,821/92,702/18

Given numbers are 753/36,821/92,702/18

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 753,821,702

Least Common Multiple of Numerators i.e. LCM of 753,821,702 is 144661842.

GCF of Denominators means GCF of 36,92,18 as per the given fractions.

GCF of 36,92,18 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,821,702

LCM of Fractions 753/36,821/92,702/18 is 72330921

3 753, 821, 702
251, 821, 234

∴ So the LCM of the given numbers is 3 x 251 x 821 x 234 = 144661842

Least Common Multiple of 753,821,702 with GCF Formula

Least Common Multiple of 753,821,702 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 753,821,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,821,702) = 1

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

GCF(753,821,702) x common factors =1 x 3 = 3

LCM(753,821,702) = ( 753 × 821 × 702 ) / 3

LCM(753,821,702) = 433985526 / 3

LCM(753,821,702) = 144661842


Lets's calculate GCF of 36,92,18

2 36, 92, 18
18, 46, 9

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144661842/2

Therefore the LCM of Fractions 753/36,821/92,702/18 is 72330921

Greatest Common Factor of 36,92,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,92,18 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 36,92,18 . The biggest common factor number is the GCF number.
So the greatest common factor 36,92,18 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 753/36, 821/92, 702/18

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 753/36, 821/92, 702/18?

Answer: LCM of Numerators as per given numbers 753/36, 821/92, 702/18 is

LCM of Numerators i.e. for 753,821,702 is 144661842

GCF of denominators i.e. for 36,92,18 is 2.

Thus, LCM of Fractions is 72330921.Finally, LCM of Fractions for 753/36, 821/92, 702/18 is 72330921.