Least Common Multiple of 71/597, 29/803, 426/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/597, 29/803, 426/741 quickly i.e. 12354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/597, 29/803, 426/741 is 12354.

LCM(71/597, 29/803, 426/741) = 12354

LCM of 71/597, 29/803, 426/741

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 71/597,29/803,426/741

Given numbers are 71/597,29/803,426/741

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 71,29,426

Least Common Multiple of Numerators i.e. LCM of 71,29,426 is 12354.

GCF of Denominators means GCF of 597,803,741 as per the given fractions.

GCF of 597,803,741 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,29,426

LCM of Fractions 71/597,29/803,426/741 is 12354

71 71, 29, 426
1, 29, 6

∴ So the LCM of the given numbers is 71 x 1 x 29 x 6 = 12354

Least Common Multiple of 71,29,426 with GCF Formula

Least Common Multiple of 71,29,426 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 71,29,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,29,426) = 1

common factors(in case of two or more numbers have common factors) = 71

GCF(71,29,426) x common factors =1 x 71 = 71

LCM(71,29,426) = ( 71 × 29 × 426 ) / 71

LCM(71,29,426) = 877134 / 71

LCM(71,29,426) = 12354


Lets's calculate GCF of 597,803,741

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12354/1

Therefore the LCM of Fractions 71/597,29/803,426/741 is 12354

Greatest Common Factor of 597,803,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,803,741 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 597,803,741 . The biggest common factor number is the GCF number.
So the greatest common factor 597,803,741 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 71/597, 29/803, 426/741

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 71/597, 29/803, 426/741?

Answer: LCM of Numerators as per given numbers 71/597, 29/803, 426/741 is

LCM of Numerators i.e. for 71,29,426 is 12354

GCF of denominators i.e. for 597,803,741 is 1.

Thus, LCM of Fractions is 12354.Finally, LCM of Fractions for 71/597, 29/803, 426/741 is 12354.