Least Common Multiple of 56/476, 27/800, 670/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/476, 27/800, 670/318 quickly i.e. 253260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/476, 27/800, 670/318 is 253260.

LCM(56/476, 27/800, 670/318) = 253260

LCM of 56/476, 27/800, 670/318

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 56/476,27/800,670/318

Given numbers are 56/476,27/800,670/318

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 56,27,670

Least Common Multiple of Numerators i.e. LCM of 56,27,670 is 506520.

GCF of Denominators means GCF of 476,800,318 as per the given fractions.

GCF of 476,800,318 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,27,670

LCM of Fractions 56/476,27/800,670/318 is 253260

2 56, 27, 670
28, 27, 335

∴ So the LCM of the given numbers is 2 x 28 x 27 x 335 = 506520

Least Common Multiple of 56,27,670 with GCF Formula

Least Common Multiple of 56,27,670 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 56,27,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,27,670) = 1

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

GCF(56,27,670) x common factors =1 x 2 = 2

LCM(56,27,670) = ( 56 × 27 × 670 ) / 2

LCM(56,27,670) = 1013040 / 2

LCM(56,27,670) = 506520


Lets's calculate GCF of 476,800,318

2 476, 800, 318
238, 400, 159

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 506520/2

Therefore the LCM of Fractions 56/476,27/800,670/318 is 253260

Greatest Common Factor of 476,800,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,800,318 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 476,800,318 . The biggest common factor number is the GCF number.
So the greatest common factor 476,800,318 is 2.


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 56/476, 27/800, 670/318

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 56/476, 27/800, 670/318?

Answer: LCM of Numerators as per given numbers 56/476, 27/800, 670/318 is

LCM of Numerators i.e. for 56,27,670 is 506520

GCF of denominators i.e. for 476,800,318 is 2.

Thus, LCM of Fractions is 253260.Finally, LCM of Fractions for 56/476, 27/800, 670/318 is 253260.