Least Common Multiple of 353/418, 823/158, 727/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 353/418, 823/158, 727/945 quickly i.e. 211207313 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 353/418, 823/158, 727/945 is 211207313.

LCM(353/418, 823/158, 727/945) = 211207313

LCM of 353/418, 823/158, 727/945

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 353/418,823/158,727/945

Given numbers are 353/418,823/158,727/945

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 353,823,727

Least Common Multiple of Numerators i.e. LCM of 353,823,727 is 211207313.

GCF of Denominators means GCF of 418,158,945 as per the given fractions.

GCF of 418,158,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 353,823,727

LCM of Fractions 353/418,823/158,727/945 is 211207313

Given numbers has no common factors except 1. So, there LCM is their product i.e 211207313

Least Common Multiple of 353,823,727 with GCF Formula

Least Common Multiple of 353,823,727 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 353,823,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,823,727) = 1

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

GCF(353,823,727) x common factors =1 x 1 = 1

LCM(353,823,727) = ( 353 × 823 × 727 ) / 1

LCM(353,823,727) = 211207313 / 1

LCM(353,823,727) = 211207313


Lets's calculate GCF of 418,158,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211207313/1

Therefore the LCM of Fractions 353/418,823/158,727/945 is 211207313

Greatest Common Factor of 418,158,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,158,945 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 418,158,945 . The biggest common factor number is the GCF number.
So the greatest common factor 418,158,945 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 353/418, 823/158, 727/945

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 353/418, 823/158, 727/945?

Answer: LCM of Numerators as per given numbers 353/418, 823/158, 727/945 is

LCM of Numerators i.e. for 353,823,727 is 211207313

GCF of denominators i.e. for 418,158,945 is 1.

Thus, LCM of Fractions is 211207313.Finally, LCM of Fractions for 353/418, 823/158, 727/945 is 211207313.