Least Common Multiple of 71/245, 318/392, 439/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/245, 318/392, 439/994 quickly i.e. 9911742/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/245, 318/392, 439/994 is 9911742/7.

LCM(71/245, 318/392, 439/994) = 9911742/7

LCM of 71/245, 318/392, 439/994

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 71/245,318/392,439/994

Given numbers are 71/245,318/392,439/994

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 71,318,439

Least Common Multiple of Numerators i.e. LCM of 71,318,439 is 9911742.

GCF of Denominators means GCF of 245,392,994 as per the given fractions.

GCF of 245,392,994 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,318,439

LCM of Fractions 71/245,318/392,439/994 is 9911742/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 9911742

Least Common Multiple of 71,318,439 with GCF Formula

Least Common Multiple of 71,318,439 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 71,318,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,318,439) = 1

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

GCF(71,318,439) x common factors =1 x 1 = 1

LCM(71,318,439) = ( 71 × 318 × 439 ) / 1

LCM(71,318,439) = 9911742 / 1

LCM(71,318,439) = 9911742


Lets's calculate GCF of 245,392,994

7 245, 392, 994
35, 56, 142

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9911742/7

Therefore the LCM of Fractions 71/245,318/392,439/994 is 9911742/7

Greatest Common Factor of 245,392,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,392,994 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 245,392,994 . The biggest common factor number is the GCF number.
So the greatest common factor 245,392,994 is 7.


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 71/245, 318/392, 439/994

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 71/245, 318/392, 439/994?

Answer: LCM of Numerators as per given numbers 71/245, 318/392, 439/994 is

LCM of Numerators i.e. for 71,318,439 is 9911742

GCF of denominators i.e. for 245,392,994 is 7.

Thus, LCM of Fractions is 9911742/7.Finally, LCM of Fractions for 71/245, 318/392, 439/994 is 9911742/7.