Least Common Multiple of 53/97, 14/47, 61/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/97, 14/47, 61/365 quickly i.e. 45262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/97, 14/47, 61/365 is 45262.

LCM(53/97, 14/47, 61/365) = 45262

LCM of 53/97, 14/47, 61/365

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 53/97,14/47,61/365

Given numbers are 53/97,14/47,61/365

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 53,14,61

Least Common Multiple of Numerators i.e. LCM of 53,14,61 is 45262.

GCF of Denominators means GCF of 97,47,365 as per the given fractions.

GCF of 97,47,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,14,61

LCM of Fractions 53/97,14/47,61/365 is 45262

Given numbers has no common factors except 1. So, there LCM is their product i.e 45262

Least Common Multiple of 53,14,61 with GCF Formula

Least Common Multiple of 53,14,61 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 53,14,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,14,61) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(53,14,61) x common factors =1 x 1 = 1

LCM(53,14,61) = ( 53 × 14 × 61 ) / 1

LCM(53,14,61) = 45262 / 1

LCM(53,14,61) = 45262


Lets's calculate GCF of 97,47,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45262/1

Therefore the LCM of Fractions 53/97,14/47,61/365 is 45262

Greatest Common Factor of 97,47,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,47,365 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 47

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

1,47

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 97,47,365 . The biggest common factor number is the GCF number.
So the greatest common factor 97,47,365 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 53/97, 14/47, 61/365

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 53/97, 14/47, 61/365?

Answer: LCM of Numerators as per given numbers 53/97, 14/47, 61/365 is

LCM of Numerators i.e. for 53,14,61 is 45262

GCF of denominators i.e. for 97,47,365 is 1.

Thus, LCM of Fractions is 45262.Finally, LCM of Fractions for 53/97, 14/47, 61/365 is 45262.