Least Common Multiple of 78/172, 8616/8832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/172, 8616/8832 quickly i.e. 28002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/172, 8616/8832 is 28002.

LCM(78/172, 8616/8832) = 28002

LCM of 78/172, 8616/8832

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 78/172,8616/8832

Given numbers are 78/172,8616/8832

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 78,8616

Least Common Multiple of Numerators i.e. LCM of 78,8616 is 112008.

GCF of Denominators means GCF of 172,8832 as per the given fractions.

GCF of 172,8832 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,8616

LCM of Fractions 78/172,8616/8832 is 28002

2 78, 8616
3 39, 4308
13, 1436

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1436 = 112008

Least Common Multiple of 78,8616 with GCF Formula

Least Common Multiple of 78,8616 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 78,8616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,8616) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(78,8616) x common factors =6 x 1 = 6

LCM(78,8616) = ( 78 × 8616 ) / 6

LCM(78,8616) = 672048 / 6

LCM(78,8616) = 112008


Lets's calculate GCF of 172,8832

2 172, 8832
2 86, 4416
43, 2208

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112008/4

Therefore the LCM of Fractions 78/172,8616/8832 is 28002

Greatest Common Factor of 172,8832 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,8832 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 8832

List of positive integer factors of 8832 that divides 8832 without a remainder.

1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,128,138,184,192,276,368,384,552,736,1104,1472,2208,2944,4416,8832

Greatest Common Factor

We found the factors 172,8832 . The biggest common factor number is the GCF number.
So the greatest common factor 172,8832 is 4.


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 78/172, 8616/8832

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 78/172, 8616/8832?

Answer: LCM of Numerators as per given numbers 78/172, 8616/8832 is

LCM of Numerators i.e. for 78,8616 is 112008

GCF of denominators i.e. for 172,8832 is 4.

Thus, LCM of Fractions is 28002.Finally, LCM of Fractions for 78/172, 8616/8832 is 28002.