Least Common Multiple of 47/58, 88/92, 16/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/58, 88/92, 16/606 quickly i.e. 4136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/58, 88/92, 16/606 is 4136.

LCM(47/58, 88/92, 16/606) = 4136

LCM of 47/58, 88/92, 16/606

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 47/58,88/92,16/606

Given numbers are 47/58,88/92,16/606

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 47,88,16

Least Common Multiple of Numerators i.e. LCM of 47,88,16 is 8272.

GCF of Denominators means GCF of 58,92,606 as per the given fractions.

GCF of 58,92,606 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,88,16

LCM of Fractions 47/58,88/92,16/606 is 4136

2 47, 88, 16
2 47, 44, 8
2 47, 22, 4
47, 11, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 11 x 2 = 8272

Least Common Multiple of 47,88,16 with GCF Formula

Least Common Multiple of 47,88,16 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 47,88,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,88,16) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(47,88,16) x common factors =1 x 8 = 8

LCM(47,88,16) = ( 47 × 88 × 16 ) / 8

LCM(47,88,16) = 66176 / 8

LCM(47,88,16) = 8272


Lets's calculate GCF of 58,92,606

2 58, 92, 606
29, 46, 303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8272/2

Therefore the LCM of Fractions 47/58,88/92,16/606 is 4136

Greatest Common Factor of 58,92,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,92,606 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 58,92,606 . The biggest common factor number is the GCF number.
So the greatest common factor 58,92,606 is 2.


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Frequently Asked Questions on Fractional LCM of 47/58, 88/92, 16/606

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 47/58, 88/92, 16/606?

Answer: LCM of Numerators as per given numbers 47/58, 88/92, 16/606 is

LCM of Numerators i.e. for 47,88,16 is 8272

GCF of denominators i.e. for 58,92,606 is 2.

Thus, LCM of Fractions is 4136.Finally, LCM of Fractions for 47/58, 88/92, 16/606 is 4136.