Least Common Multiple of 56/474, 76/510, 828/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/474, 76/510, 828/249 quickly i.e. 73416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/474, 76/510, 828/249 is 73416.

LCM(56/474, 76/510, 828/249) = 73416

LCM of 56/474, 76/510, 828/249

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 56/474,76/510,828/249

Given numbers are 56/474,76/510,828/249

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 56,76,828

Least Common Multiple of Numerators i.e. LCM of 56,76,828 is 220248.

GCF of Denominators means GCF of 474,510,249 as per the given fractions.

GCF of 474,510,249 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,76,828

LCM of Fractions 56/474,76/510,828/249 is 73416

2 56, 76, 828
2 28, 38, 414
14, 19, 207

∴ So the LCM of the given numbers is 2 x 2 x 14 x 19 x 207 = 220248

Least Common Multiple of 56,76,828 with GCF Formula

Least Common Multiple of 56,76,828 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 56,76,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,76,828) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(56,76,828) x common factors =4 x 4 = 16

LCM(56,76,828) = ( 56 × 76 × 828 ) / 16

LCM(56,76,828) = 3523968 / 16

LCM(56,76,828) = 220248


Lets's calculate GCF of 474,510,249

3 474, 510, 249
158, 170, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220248/3

Therefore the LCM of Fractions 56/474,76/510,828/249 is 73416

Greatest Common Factor of 474,510,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,510,249 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 474,510,249 . The biggest common factor number is the GCF number.
So the greatest common factor 474,510,249 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 56/474, 76/510, 828/249

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 56/474, 76/510, 828/249?

Answer: LCM of Numerators as per given numbers 56/474, 76/510, 828/249 is

LCM of Numerators i.e. for 56,76,828 is 220248

GCF of denominators i.e. for 474,510,249 is 3.

Thus, LCM of Fractions is 73416.Finally, LCM of Fractions for 56/474, 76/510, 828/249 is 73416.