Least Common Multiple of 45/31, 45/47, 164/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/31, 45/47, 164/293 quickly i.e. 7380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/31, 45/47, 164/293 is 7380.

LCM(45/31, 45/47, 164/293) = 7380

LCM of 45/31, 45/47, 164/293

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 45/31,45/47,164/293

Given numbers are 45/31,45/47,164/293

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 45,45,164

Least Common Multiple of Numerators i.e. LCM of 45,45,164 is 7380.

GCF of Denominators means GCF of 31,47,293 as per the given fractions.

GCF of 31,47,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,45,164

LCM of Fractions 45/31,45/47,164/293 is 7380

3 45, 45, 164
3 15, 15, 164
5 5, 5, 164
1, 1, 164

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 1 x 164 = 7380

Least Common Multiple of 45,45,164 with GCF Formula

Least Common Multiple of 45,45,164 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 45,45,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,45,164) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(45,45,164) x common factors =1 x 45 = 45

LCM(45,45,164) = ( 45 × 45 × 164 ) / 45

LCM(45,45,164) = 332100 / 45

LCM(45,45,164) = 7380


Lets's calculate GCF of 31,47,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7380/1

Therefore the LCM of Fractions 45/31,45/47,164/293 is 7380

Greatest Common Factor of 31,47,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,47,293 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 31,47,293 . The biggest common factor number is the GCF number.
So the greatest common factor 31,47,293 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 45/31, 45/47, 164/293

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 45/31, 45/47, 164/293?

Answer: LCM of Numerators as per given numbers 45/31, 45/47, 164/293 is

LCM of Numerators i.e. for 45,45,164 is 7380

GCF of denominators i.e. for 31,47,293 is 1.

Thus, LCM of Fractions is 7380.Finally, LCM of Fractions for 45/31, 45/47, 164/293 is 7380.