Least Common Multiple of 62/945, 53/690, 354/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/945, 53/690, 354/579 quickly i.e. 193874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/945, 53/690, 354/579 is 193874.

LCM(62/945, 53/690, 354/579) = 193874

LCM of 62/945, 53/690, 354/579

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 62/945,53/690,354/579

Given numbers are 62/945,53/690,354/579

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 62,53,354

Least Common Multiple of Numerators i.e. LCM of 62,53,354 is 581622.

GCF of Denominators means GCF of 945,690,579 as per the given fractions.

GCF of 945,690,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,53,354

LCM of Fractions 62/945,53/690,354/579 is 193874

2 62, 53, 354
31, 53, 177

∴ So the LCM of the given numbers is 2 x 31 x 53 x 177 = 581622

Least Common Multiple of 62,53,354 with GCF Formula

Least Common Multiple of 62,53,354 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 62,53,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,53,354) = 1

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

GCF(62,53,354) x common factors =1 x 2 = 2

LCM(62,53,354) = ( 62 × 53 × 354 ) / 2

LCM(62,53,354) = 1163244 / 2

LCM(62,53,354) = 581622


Lets's calculate GCF of 945,690,579

3 945, 690, 579
315, 230, 193

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 581622/3

Therefore the LCM of Fractions 62/945,53/690,354/579 is 193874

Greatest Common Factor of 945,690,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,690,579 By Matching Biggest Common Factor Method

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

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 945,690,579 . The biggest common factor number is the GCF number.
So the greatest common factor 945,690,579 is 3.


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 62/945, 53/690, 354/579

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 62/945, 53/690, 354/579?

Answer: LCM of Numerators as per given numbers 62/945, 53/690, 354/579 is

LCM of Numerators i.e. for 62,53,354 is 581622

GCF of denominators i.e. for 945,690,579 is 3.

Thus, LCM of Fractions is 193874.Finally, LCM of Fractions for 62/945, 53/690, 354/579 is 193874.