Least Common Multiple of 41/344, 268/36, 971/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/344, 268/36, 971/682 quickly i.e. 5334674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/344, 268/36, 971/682 is 5334674.

LCM(41/344, 268/36, 971/682) = 5334674

LCM of 41/344, 268/36, 971/682

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 41/344,268/36,971/682

Given numbers are 41/344,268/36,971/682

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 41,268,971

Least Common Multiple of Numerators i.e. LCM of 41,268,971 is 10669348.

GCF of Denominators means GCF of 344,36,682 as per the given fractions.

GCF of 344,36,682 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,268,971

LCM of Fractions 41/344,268/36,971/682 is 5334674

Given numbers has no common factors except 1. So, there LCM is their product i.e 10669348

Least Common Multiple of 41,268,971 with GCF Formula

Least Common Multiple of 41,268,971 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 41,268,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,268,971) = 1

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

GCF(41,268,971) x common factors =1 x 1 = 1

LCM(41,268,971) = ( 41 × 268 × 971 ) / 1

LCM(41,268,971) = 10669348 / 1

LCM(41,268,971) = 10669348


Lets's calculate GCF of 344,36,682

2 344, 36, 682
172, 18, 341

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10669348/2

Therefore the LCM of Fractions 41/344,268/36,971/682 is 5334674

Greatest Common Factor of 344,36,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,36,682 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 344,36,682 . The biggest common factor number is the GCF number.
So the greatest common factor 344,36,682 is 2.


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 41/344, 268/36, 971/682

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 41/344, 268/36, 971/682?

Answer: LCM of Numerators as per given numbers 41/344, 268/36, 971/682 is

LCM of Numerators i.e. for 41,268,971 is 10669348

GCF of denominators i.e. for 344,36,682 is 2.

Thus, LCM of Fractions is 5334674.Finally, LCM of Fractions for 41/344, 268/36, 971/682 is 5334674.