Least Common Multiple of 56/366, 18/625, 741/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/366, 18/625, 741/469 quickly i.e. 124488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/366, 18/625, 741/469 is 124488.

LCM(56/366, 18/625, 741/469) = 124488

LCM of 56/366, 18/625, 741/469

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 56/366,18/625,741/469

Given numbers are 56/366,18/625,741/469

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 56,18,741

Least Common Multiple of Numerators i.e. LCM of 56,18,741 is 124488.

GCF of Denominators means GCF of 366,625,469 as per the given fractions.

GCF of 366,625,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,18,741

LCM of Fractions 56/366,18/625,741/469 is 124488

2 56, 18, 741
3 28, 9, 741
28, 3, 247

∴ So the LCM of the given numbers is 2 x 3 x 28 x 3 x 247 = 124488

Least Common Multiple of 56,18,741 with GCF Formula

Least Common Multiple of 56,18,741 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 56,18,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,18,741) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(56,18,741) x common factors =1 x 6 = 6

LCM(56,18,741) = ( 56 × 18 × 741 ) / 6

LCM(56,18,741) = 746928 / 6

LCM(56,18,741) = 124488


Lets's calculate GCF of 366,625,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124488/1

Therefore the LCM of Fractions 56/366,18/625,741/469 is 124488

Greatest Common Factor of 366,625,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,625,469 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 366,625,469 . The biggest common factor number is the GCF number.
So the greatest common factor 366,625,469 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 56/366, 18/625, 741/469

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 56/366, 18/625, 741/469?

Answer: LCM of Numerators as per given numbers 56/366, 18/625, 741/469 is

LCM of Numerators i.e. for 56,18,741 is 124488

GCF of denominators i.e. for 366,625,469 is 1.

Thus, LCM of Fractions is 124488.Finally, LCM of Fractions for 56/366, 18/625, 741/469 is 124488.