Least Common Multiple of 1742/397, 3256/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1742/397, 3256/322 quickly i.e. 2835976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1742/397, 3256/322 is 2835976.

LCM(1742/397, 3256/322) = 2835976

LCM of 1742/397, 3256/322

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 1742/397,3256/322

Given numbers are 1742/397,3256/322

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 1742,3256

Least Common Multiple of Numerators i.e. LCM of 1742,3256 is 2835976.

GCF of Denominators means GCF of 397,322 as per the given fractions.

GCF of 397,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1742,3256

LCM of Fractions 1742/397,3256/322 is 2835976

2 1742, 3256
871, 1628

∴ So the LCM of the given numbers is 2 x 871 x 1628 = 2835976

Least Common Multiple of 1742,3256 with GCF Formula

Least Common Multiple of 1742,3256 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 1742,3256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1742,3256) = 2

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

GCF(1742,3256) x common factors =2 x 1 = 2

LCM(1742,3256) = ( 1742 × 3256 ) / 2

LCM(1742,3256) = 5671952 / 2

LCM(1742,3256) = 2835976


Lets's calculate GCF of 397,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2835976/1

Therefore the LCM of Fractions 1742/397,3256/322 is 2835976

Greatest Common Factor of 397,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,322 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 397,322 . The biggest common factor number is the GCF number.
So the greatest common factor 397,322 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 1742/397, 3256/322

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 1742/397, 3256/322?

Answer: LCM of Numerators as per given numbers 1742/397, 3256/322 is

LCM of Numerators i.e. for 1742,3256 is 2835976

GCF of denominators i.e. for 397,322 is 1.

Thus, LCM of Fractions is 2835976.Finally, LCM of Fractions for 1742/397, 3256/322 is 2835976.