Least Common Multiple of 71/674, 341/467, 362/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/674, 341/467, 362/434 quickly i.e. 8764382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/674, 341/467, 362/434 is 8764382.

LCM(71/674, 341/467, 362/434) = 8764382

LCM of 71/674, 341/467, 362/434

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 71/674,341/467,362/434

Given numbers are 71/674,341/467,362/434

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 71,341,362

Least Common Multiple of Numerators i.e. LCM of 71,341,362 is 8764382.

GCF of Denominators means GCF of 674,467,434 as per the given fractions.

GCF of 674,467,434 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,341,362

LCM of Fractions 71/674,341/467,362/434 is 8764382

Given numbers has no common factors except 1. So, there LCM is their product i.e 8764382

Least Common Multiple of 71,341,362 with GCF Formula

Least Common Multiple of 71,341,362 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 71,341,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,341,362) = 1

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

GCF(71,341,362) x common factors =1 x 1 = 1

LCM(71,341,362) = ( 71 × 341 × 362 ) / 1

LCM(71,341,362) = 8764382 / 1

LCM(71,341,362) = 8764382


Lets's calculate GCF of 674,467,434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8764382/1

Therefore the LCM of Fractions 71/674,341/467,362/434 is 8764382

Greatest Common Factor of 674,467,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,467,434 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 674,467,434 . The biggest common factor number is the GCF number.
So the greatest common factor 674,467,434 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 71/674, 341/467, 362/434

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 71/674, 341/467, 362/434?

Answer: LCM of Numerators as per given numbers 71/674, 341/467, 362/434 is

LCM of Numerators i.e. for 71,341,362 is 8764382

GCF of denominators i.e. for 674,467,434 is 1.

Thus, LCM of Fractions is 8764382.Finally, LCM of Fractions for 71/674, 341/467, 362/434 is 8764382.