Least Common Multiple of 92/73, 80/84, 52/12, 34/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/73, 80/84, 52/12, 34/495 quickly i.e. 406640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/73, 80/84, 52/12, 34/495 is 406640.

LCM(92/73, 80/84, 52/12, 34/495) = 406640

LCM of 92/73, 80/84, 52/12, 34/495

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 92/73,80/84,52/12,34/495

Given numbers are 92/73,80/84,52/12,34/495

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 92,80,52,34

Least Common Multiple of Numerators i.e. LCM of 92,80,52,34 is 406640.

GCF of Denominators means GCF of 73,84,12,495 as per the given fractions.

GCF of 73,84,12,495 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,80,52,34

LCM of Fractions 92/73,80/84,52/12,34/495 is 406640

2 92, 80, 52, 34
2 46, 40, 26, 17
23, 20, 13, 17

∴ So the LCM of the given numbers is 2 x 2 x 23 x 20 x 13 x 17 = 406640

Least Common Multiple of 92,80,52,34 with GCF Formula

Least Common Multiple of 92,80,52,34 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 92,80,52,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,80,52,34) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(92,80,52,34) x common factors =2 x 16 = 32

LCM(92,80,52,34) = ( 92 × 80 × 52 × 34 ) / 32

LCM(92,80,52,34) = 13012480 / 32

LCM(92,80,52,34) = 406640


Lets's calculate GCF of 73,84,12,495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406640/1

Therefore the LCM of Fractions 92/73,80/84,52/12,34/495 is 406640

Greatest Common Factor of 73,84,12,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,84,12,495 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 73,84,12,495 . The biggest common factor number is the GCF number.
So the greatest common factor 73,84,12,495 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 92/73, 80/84, 52/12, 34/495

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 92/73, 80/84, 52/12, 34/495?

Answer: LCM of Numerators as per given numbers 92/73, 80/84, 52/12, 34/495 is

LCM of Numerators i.e. for 92,80,52,34 is 406640

GCF of denominators i.e. for 73,84,12,495 is 1.

Thus, LCM of Fractions is 406640.Finally, LCM of Fractions for 92/73, 80/84, 52/12, 34/495 is 406640.