Least Common Multiple of 71/997, 78/816, 101/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/997, 78/816, 101/295 quickly i.e. 559338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/997, 78/816, 101/295 is 559338.

LCM(71/997, 78/816, 101/295) = 559338

LCM of 71/997, 78/816, 101/295

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 71/997,78/816,101/295

Given numbers are 71/997,78/816,101/295

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 71,78,101

Least Common Multiple of Numerators i.e. LCM of 71,78,101 is 559338.

GCF of Denominators means GCF of 997,816,295 as per the given fractions.

GCF of 997,816,295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,78,101

LCM of Fractions 71/997,78/816,101/295 is 559338

Given numbers has no common factors except 1. So, there LCM is their product i.e 559338

Least Common Multiple of 71,78,101 with GCF Formula

Least Common Multiple of 71,78,101 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 71,78,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,78,101) = 1

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

GCF(71,78,101) x common factors =1 x 1 = 1

LCM(71,78,101) = ( 71 × 78 × 101 ) / 1

LCM(71,78,101) = 559338 / 1

LCM(71,78,101) = 559338


Lets's calculate GCF of 997,816,295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 559338/1

Therefore the LCM of Fractions 71/997,78/816,101/295 is 559338

Greatest Common Factor of 997,816,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,816,295 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

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

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 997,816,295 . The biggest common factor number is the GCF number.
So the greatest common factor 997,816,295 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 71/997, 78/816, 101/295

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 71/997, 78/816, 101/295?

Answer: LCM of Numerators as per given numbers 71/997, 78/816, 101/295 is

LCM of Numerators i.e. for 71,78,101 is 559338

GCF of denominators i.e. for 997,816,295 is 1.

Thus, LCM of Fractions is 559338.Finally, LCM of Fractions for 71/997, 78/816, 101/295 is 559338.