Least Common Multiple of 71/115, 97/375, 834/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/115, 97/375, 834/580 quickly i.e. 5743758/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/115, 97/375, 834/580 is 5743758/5.

LCM(71/115, 97/375, 834/580) = 5743758/5

LCM of 71/115, 97/375, 834/580

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 71/115,97/375,834/580

Given numbers are 71/115,97/375,834/580

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 71,97,834

Least Common Multiple of Numerators i.e. LCM of 71,97,834 is 5743758.

GCF of Denominators means GCF of 115,375,580 as per the given fractions.

GCF of 115,375,580 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,97,834

LCM of Fractions 71/115,97/375,834/580 is 5743758/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 5743758

Least Common Multiple of 71,97,834 with GCF Formula

Least Common Multiple of 71,97,834 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 71,97,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,97,834) = 1

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

GCF(71,97,834) x common factors =1 x 1 = 1

LCM(71,97,834) = ( 71 × 97 × 834 ) / 1

LCM(71,97,834) = 5743758 / 1

LCM(71,97,834) = 5743758


Lets's calculate GCF of 115,375,580

5 115, 375, 580
23, 75, 116

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5743758/5

Therefore the LCM of Fractions 71/115,97/375,834/580 is 5743758/5

Greatest Common Factor of 115,375,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,375,580 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 115,375,580 . The biggest common factor number is the GCF number.
So the greatest common factor 115,375,580 is 5.


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 71/115, 97/375, 834/580

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 71/115, 97/375, 834/580?

Answer: LCM of Numerators as per given numbers 71/115, 97/375, 834/580 is

LCM of Numerators i.e. for 71,97,834 is 5743758

GCF of denominators i.e. for 115,375,580 is 5.

Thus, LCM of Fractions is 5743758/5.Finally, LCM of Fractions for 71/115, 97/375, 834/580 is 5743758/5.