Least Common Multiple of 56/730, 124/868, 313/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/730, 124/868, 313/584 quickly i.e. 271684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/730, 124/868, 313/584 is 271684.

LCM(56/730, 124/868, 313/584) = 271684

LCM of 56/730, 124/868, 313/584

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 56/730,124/868,313/584

Given numbers are 56/730,124/868,313/584

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 56,124,313

Least Common Multiple of Numerators i.e. LCM of 56,124,313 is 543368.

GCF of Denominators means GCF of 730,868,584 as per the given fractions.

GCF of 730,868,584 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,124,313

LCM of Fractions 56/730,124/868,313/584 is 271684

2 56, 124, 313
2 28, 62, 313
14, 31, 313

∴ So the LCM of the given numbers is 2 x 2 x 14 x 31 x 313 = 543368

Least Common Multiple of 56,124,313 with GCF Formula

Least Common Multiple of 56,124,313 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 56,124,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,124,313) = 1

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

GCF(56,124,313) x common factors =1 x 4 = 4

LCM(56,124,313) = ( 56 × 124 × 313 ) / 4

LCM(56,124,313) = 2173472 / 4

LCM(56,124,313) = 543368


Lets's calculate GCF of 730,868,584

2 730, 868, 584
365, 434, 292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 543368/2

Therefore the LCM of Fractions 56/730,124/868,313/584 is 271684

Greatest Common Factor of 730,868,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,868,584 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 730,868,584 . The biggest common factor number is the GCF number.
So the greatest common factor 730,868,584 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 56/730, 124/868, 313/584

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 56/730, 124/868, 313/584?

Answer: LCM of Numerators as per given numbers 56/730, 124/868, 313/584 is

LCM of Numerators i.e. for 56,124,313 is 543368

GCF of denominators i.e. for 730,868,584 is 2.

Thus, LCM of Fractions is 271684.Finally, LCM of Fractions for 56/730, 124/868, 313/584 is 271684.