Least Common Multiple of 92/80, 16/84, 96/36, 63/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/80, 16/84, 96/36, 63/334 quickly i.e. 23184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/80, 16/84, 96/36, 63/334 is 23184.

LCM(92/80, 16/84, 96/36, 63/334) = 23184

LCM of 92/80, 16/84, 96/36, 63/334

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 92/80,16/84,96/36,63/334

Given numbers are 92/80,16/84,96/36,63/334

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 92,16,96,63

Least Common Multiple of Numerators i.e. LCM of 92,16,96,63 is 46368.

GCF of Denominators means GCF of 80,84,36,334 as per the given fractions.

GCF of 80,84,36,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,16,96,63

LCM of Fractions 92/80,16/84,96/36,63/334 is 23184

2 92, 16, 96, 63
2 46, 8, 48, 63
2 23, 4, 24, 63
2 23, 2, 12, 63
3 23, 1, 6, 63
23, 1, 2, 21

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 23 x 1 x 2 x 21 = 46368

Least Common Multiple of 92,16,96,63 with GCF Formula

Least Common Multiple of 92,16,96,63 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 92,16,96,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,16,96,63) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(92,16,96,63) x common factors =1 x 192 = 192

LCM(92,16,96,63) = ( 92 × 16 × 96 × 63 ) / 192

LCM(92,16,96,63) = 8902656 / 192

LCM(92,16,96,63) = 46368


Lets's calculate GCF of 80,84,36,334

2 80, 84, 36, 334
40, 42, 18, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46368/2

Therefore the LCM of Fractions 92/80,16/84,96/36,63/334 is 23184

Greatest Common Factor of 80,84,36,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,84,36,334 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

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 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 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 80,84,36,334 . The biggest common factor number is the GCF number.
So the greatest common factor 80,84,36,334 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 92/80, 16/84, 96/36, 63/334

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 92/80, 16/84, 96/36, 63/334?

Answer: LCM of Numerators as per given numbers 92/80, 16/84, 96/36, 63/334 is

LCM of Numerators i.e. for 92,16,96,63 is 46368

GCF of denominators i.e. for 80,84,36,334 is 2.

Thus, LCM of Fractions is 23184.Finally, LCM of Fractions for 92/80, 16/84, 96/36, 63/334 is 23184.