Least Common Multiple of 71/515, 440/94, 854/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/515, 440/94, 854/390 quickly i.e. 13339480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/515, 440/94, 854/390 is 13339480.

LCM(71/515, 440/94, 854/390) = 13339480

LCM of 71/515, 440/94, 854/390

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 71/515,440/94,854/390

Given numbers are 71/515,440/94,854/390

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 71,440,854

Least Common Multiple of Numerators i.e. LCM of 71,440,854 is 13339480.

GCF of Denominators means GCF of 515,94,390 as per the given fractions.

GCF of 515,94,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,440,854

LCM of Fractions 71/515,440/94,854/390 is 13339480

2 71, 440, 854
71, 220, 427

∴ So the LCM of the given numbers is 2 x 71 x 220 x 427 = 13339480

Least Common Multiple of 71,440,854 with GCF Formula

Least Common Multiple of 71,440,854 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 71,440,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,440,854) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,440,854) x common factors =1 x 2 = 2

LCM(71,440,854) = ( 71 × 440 × 854 ) / 2

LCM(71,440,854) = 26678960 / 2

LCM(71,440,854) = 13339480


Lets's calculate GCF of 515,94,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13339480/1

Therefore the LCM of Fractions 71/515,440/94,854/390 is 13339480

Greatest Common Factor of 515,94,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,94,390 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 515,94,390 . The biggest common factor number is the GCF number.
So the greatest common factor 515,94,390 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 71/515, 440/94, 854/390

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 71/515, 440/94, 854/390?

Answer: LCM of Numerators as per given numbers 71/515, 440/94, 854/390 is

LCM of Numerators i.e. for 71,440,854 is 13339480

GCF of denominators i.e. for 515,94,390 is 1.

Thus, LCM of Fractions is 13339480.Finally, LCM of Fractions for 71/515, 440/94, 854/390 is 13339480.