Least Common Multiple of 56/377, 37/448, 390/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/377, 37/448, 390/441 quickly i.e. 404040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/377, 37/448, 390/441 is 404040.

LCM(56/377, 37/448, 390/441) = 404040

LCM of 56/377, 37/448, 390/441

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 56/377,37/448,390/441

Given numbers are 56/377,37/448,390/441

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 56,37,390

Least Common Multiple of Numerators i.e. LCM of 56,37,390 is 404040.

GCF of Denominators means GCF of 377,448,441 as per the given fractions.

GCF of 377,448,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,37,390

LCM of Fractions 56/377,37/448,390/441 is 404040

2 56, 37, 390
28, 37, 195

∴ So the LCM of the given numbers is 2 x 28 x 37 x 195 = 404040

Least Common Multiple of 56,37,390 with GCF Formula

Least Common Multiple of 56,37,390 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 56,37,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,37,390) = 1

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

GCF(56,37,390) x common factors =1 x 2 = 2

LCM(56,37,390) = ( 56 × 37 × 390 ) / 2

LCM(56,37,390) = 808080 / 2

LCM(56,37,390) = 404040


Lets's calculate GCF of 377,448,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404040/1

Therefore the LCM of Fractions 56/377,37/448,390/441 is 404040

Greatest Common Factor of 377,448,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,448,441 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 377,448,441 . The biggest common factor number is the GCF number.
So the greatest common factor 377,448,441 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 56/377, 37/448, 390/441

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 56/377, 37/448, 390/441?

Answer: LCM of Numerators as per given numbers 56/377, 37/448, 390/441 is

LCM of Numerators i.e. for 56,37,390 is 404040

GCF of denominators i.e. for 377,448,441 is 1.

Thus, LCM of Fractions is 404040.Finally, LCM of Fractions for 56/377, 37/448, 390/441 is 404040.