Least Common Multiple of 40/49, 86/123, 241/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/49, 86/123, 241/352 quickly i.e. 414520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/49, 86/123, 241/352 is 414520.

LCM(40/49, 86/123, 241/352) = 414520

LCM of 40/49, 86/123, 241/352

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 40/49,86/123,241/352

Given numbers are 40/49,86/123,241/352

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 40,86,241

Least Common Multiple of Numerators i.e. LCM of 40,86,241 is 414520.

GCF of Denominators means GCF of 49,123,352 as per the given fractions.

GCF of 49,123,352 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,86,241

LCM of Fractions 40/49,86/123,241/352 is 414520

2 40, 86, 241
20, 43, 241

∴ So the LCM of the given numbers is 2 x 20 x 43 x 241 = 414520

Least Common Multiple of 40,86,241 with GCF Formula

Least Common Multiple of 40,86,241 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 40,86,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,86,241) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(40,86,241) x common factors =1 x 2 = 2

LCM(40,86,241) = ( 40 × 86 × 241 ) / 2

LCM(40,86,241) = 829040 / 2

LCM(40,86,241) = 414520


Lets's calculate GCF of 49,123,352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414520/1

Therefore the LCM of Fractions 40/49,86/123,241/352 is 414520

Greatest Common Factor of 49,123,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,123,352 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 49,123,352 . The biggest common factor number is the GCF number.
So the greatest common factor 49,123,352 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 40/49, 86/123, 241/352

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 40/49, 86/123, 241/352?

Answer: LCM of Numerators as per given numbers 40/49, 86/123, 241/352 is

LCM of Numerators i.e. for 40,86,241 is 414520

GCF of denominators i.e. for 49,123,352 is 1.

Thus, LCM of Fractions is 414520.Finally, LCM of Fractions for 40/49, 86/123, 241/352 is 414520.