Least Common Multiple of 56/369, 64/930, 474/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/369, 64/930, 474/405 quickly i.e. 35392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/369, 64/930, 474/405 is 35392.

LCM(56/369, 64/930, 474/405) = 35392

LCM of 56/369, 64/930, 474/405

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 56/369,64/930,474/405

Given numbers are 56/369,64/930,474/405

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 56,64,474

Least Common Multiple of Numerators i.e. LCM of 56,64,474 is 106176.

GCF of Denominators means GCF of 369,930,405 as per the given fractions.

GCF of 369,930,405 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,64,474

LCM of Fractions 56/369,64/930,474/405 is 35392

2 56, 64, 474
2 28, 32, 237
2 14, 16, 237
7, 8, 237

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 8 x 237 = 106176

Least Common Multiple of 56,64,474 with GCF Formula

Least Common Multiple of 56,64,474 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 56,64,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,64,474) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(56,64,474) x common factors =2 x 8 = 16

LCM(56,64,474) = ( 56 × 64 × 474 ) / 16

LCM(56,64,474) = 1698816 / 16

LCM(56,64,474) = 106176


Lets's calculate GCF of 369,930,405

3 369, 930, 405
123, 310, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106176/3

Therefore the LCM of Fractions 56/369,64/930,474/405 is 35392

Greatest Common Factor of 369,930,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,930,405 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 369,930,405 . The biggest common factor number is the GCF number.
So the greatest common factor 369,930,405 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 56/369, 64/930, 474/405

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 56/369, 64/930, 474/405?

Answer: LCM of Numerators as per given numbers 56/369, 64/930, 474/405 is

LCM of Numerators i.e. for 56,64,474 is 106176

GCF of denominators i.e. for 369,930,405 is 3.

Thus, LCM of Fractions is 35392.Finally, LCM of Fractions for 56/369, 64/930, 474/405 is 35392.