Least Common Multiple of 47/32, 88/55, 148/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/32, 88/55, 148/816 quickly i.e. 153032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/32, 88/55, 148/816 is 153032.

LCM(47/32, 88/55, 148/816) = 153032

LCM of 47/32, 88/55, 148/816

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 47/32,88/55,148/816

Given numbers are 47/32,88/55,148/816

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 47,88,148

Least Common Multiple of Numerators i.e. LCM of 47,88,148 is 153032.

GCF of Denominators means GCF of 32,55,816 as per the given fractions.

GCF of 32,55,816 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,88,148

LCM of Fractions 47/32,88/55,148/816 is 153032

2 47, 88, 148
2 47, 44, 74
47, 22, 37

∴ So the LCM of the given numbers is 2 x 2 x 47 x 22 x 37 = 153032

Least Common Multiple of 47,88,148 with GCF Formula

Least Common Multiple of 47,88,148 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 47,88,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,88,148) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(47,88,148) x common factors =1 x 4 = 4

LCM(47,88,148) = ( 47 × 88 × 148 ) / 4

LCM(47,88,148) = 612128 / 4

LCM(47,88,148) = 153032


Lets's calculate GCF of 32,55,816

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153032/1

Therefore the LCM of Fractions 47/32,88/55,148/816 is 153032

Greatest Common Factor of 32,55,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,55,816 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 32,55,816 . The biggest common factor number is the GCF number.
So the greatest common factor 32,55,816 is 1.


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 47/32, 88/55, 148/816

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 47/32, 88/55, 148/816?

Answer: LCM of Numerators as per given numbers 47/32, 88/55, 148/816 is

LCM of Numerators i.e. for 47,88,148 is 153032

GCF of denominators i.e. for 32,55,816 is 1.

Thus, LCM of Fractions is 153032.Finally, LCM of Fractions for 47/32, 88/55, 148/816 is 153032.