Least Common Multiple of 88/28, 99/38, 86/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/28, 99/38, 86/672 quickly i.e. 17028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/28, 99/38, 86/672 is 17028.

LCM(88/28, 99/38, 86/672) = 17028

LCM of 88/28, 99/38, 86/672

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 88/28,99/38,86/672

Given numbers are 88/28,99/38,86/672

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 88,99,86

Least Common Multiple of Numerators i.e. LCM of 88,99,86 is 34056.

GCF of Denominators means GCF of 28,38,672 as per the given fractions.

GCF of 28,38,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,99,86

LCM of Fractions 88/28,99/38,86/672 is 17028

2 88, 99, 86
11 44, 99, 43
4, 9, 43

∴ So the LCM of the given numbers is 2 x 11 x 4 x 9 x 43 = 34056

Least Common Multiple of 88,99,86 with GCF Formula

Least Common Multiple of 88,99,86 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 88,99,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,99,86) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(88,99,86) x common factors =1 x 22 = 22

LCM(88,99,86) = ( 88 × 99 × 86 ) / 22

LCM(88,99,86) = 749232 / 22

LCM(88,99,86) = 34056


Lets's calculate GCF of 28,38,672

2 28, 38, 672
14, 19, 336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34056/2

Therefore the LCM of Fractions 88/28,99/38,86/672 is 17028

Greatest Common Factor of 28,38,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,38,672 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 28,38,672 . The biggest common factor number is the GCF number.
So the greatest common factor 28,38,672 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 88/28, 99/38, 86/672

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 88/28, 99/38, 86/672?

Answer: LCM of Numerators as per given numbers 88/28, 99/38, 86/672 is

LCM of Numerators i.e. for 88,99,86 is 34056

GCF of denominators i.e. for 28,38,672 is 2.

Thus, LCM of Fractions is 17028.Finally, LCM of Fractions for 88/28, 99/38, 86/672 is 17028.