Least Common Multiple of 9/84, 15/892, 47/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9/84, 15/892, 47/904 quickly i.e. 2115/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/84, 15/892, 47/904 is 2115/4.

LCM(9/84, 15/892, 47/904) = 2115/4

LCM of 9/84, 15/892, 47/904

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 9/84,15/892,47/904

Given numbers are 9/84,15/892,47/904

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 9,15,47

Least Common Multiple of Numerators i.e. LCM of 9,15,47 is 2115.

GCF of Denominators means GCF of 84,892,904 as per the given fractions.

GCF of 84,892,904 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,15,47

LCM of Fractions 9/84,15/892,47/904 is 2115/4

3 9, 15, 47
3, 5, 47

∴ So the LCM of the given numbers is 3 x 3 x 5 x 47 = 2115

Least Common Multiple of 9,15,47 with GCF Formula

Least Common Multiple of 9,15,47 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 9,15,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,15,47) = 1

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

GCF(9,15,47) x common factors =1 x 3 = 3

LCM(9,15,47) = ( 9 × 15 × 47 ) / 3

LCM(9,15,47) = 6345 / 3

LCM(9,15,47) = 2115


Lets's calculate GCF of 84,892,904

2 84, 892, 904
2 42, 446, 452
21, 223, 226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2115/4

Therefore the LCM of Fractions 9/84,15/892,47/904 is 2115/4

Greatest Common Factor of 84,892,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,892,904 By Matching Biggest Common Factor Method

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 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 84,892,904 . The biggest common factor number is the GCF number.
So the greatest common factor 84,892,904 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9/84, 15/892, 47/904

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 9/84, 15/892, 47/904?

Answer: LCM of Numerators as per given numbers 9/84, 15/892, 47/904 is

LCM of Numerators i.e. for 9,15,47 is 2115

GCF of denominators i.e. for 84,892,904 is 4.

Thus, LCM of Fractions is 2115/4.Finally, LCM of Fractions for 9/84, 15/892, 47/904 is 2115/4.