Least Common Multiple of 572/784, 1613/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 572/784, 1613/224 quickly i.e. 922636/112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/784, 1613/224 is 922636/112.

LCM(572/784, 1613/224) = 922636/112

LCM of 572/784, 1613/224

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 572/784,1613/224

Given numbers are 572/784,1613/224

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 572,1613

Least Common Multiple of Numerators i.e. LCM of 572,1613 is 922636.

GCF of Denominators means GCF of 784,224 as per the given fractions.

GCF of 784,224 is 112 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,1613

LCM of Fractions 572/784,1613/224 is 922636/112

Given numbers has no common factors except 1. So, there LCM is their product i.e 922636

Least Common Multiple of 572,1613 with GCF Formula

Least Common Multiple of 572,1613 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 572,1613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,1613) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(572,1613) x common factors =1 x 1 = 1

LCM(572,1613) = ( 572 × 1613 ) / 1

LCM(572,1613) = 922636 / 1

LCM(572,1613) = 922636


Lets's calculate GCF of 784,224

2 784, 224
2 392, 112
2 196, 56
2 98, 28
7 49, 14
7, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 7 = 112

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 922636/112

Therefore the LCM of Fractions 572/784,1613/224 is 922636/112

Greatest Common Factor of 784,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,224 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

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

Greatest Common Factor

We found the factors 784,224 . The biggest common factor number is the GCF number.
So the greatest common factor 784,224 is 112.


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 572/784, 1613/224

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 572/784, 1613/224?

Answer: LCM of Numerators as per given numbers 572/784, 1613/224 is

LCM of Numerators i.e. for 572,1613 is 922636

GCF of denominators i.e. for 784,224 is 112.

Thus, LCM of Fractions is 922636/112.Finally, LCM of Fractions for 572/784, 1613/224 is 922636/112.