Least Common Multiple of 388/564, 232/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 388/564, 232/514 quickly i.e. 11252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 388/564, 232/514 is 11252.

LCM(388/564, 232/514) = 11252

LCM of 388/564, 232/514

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 388/564,232/514

Given numbers are 388/564,232/514

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 388,232

Least Common Multiple of Numerators i.e. LCM of 388,232 is 22504.

GCF of Denominators means GCF of 564,514 as per the given fractions.

GCF of 564,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 388,232

LCM of Fractions 388/564,232/514 is 11252

2 388, 232
2 194, 116
97, 58

∴ So the LCM of the given numbers is 2 x 2 x 97 x 58 = 22504

Least Common Multiple of 388,232 with GCF Formula

Least Common Multiple of 388,232 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 388,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,232) = 4

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

GCF(388,232) x common factors =4 x 1 = 4

LCM(388,232) = ( 388 × 232 ) / 4

LCM(388,232) = 90016 / 4

LCM(388,232) = 22504


Lets's calculate GCF of 564,514

2 564, 514
282, 257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22504/2

Therefore the LCM of Fractions 388/564,232/514 is 11252

Greatest Common Factor of 564,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,514 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 564,514 . The biggest common factor number is the GCF number.
So the greatest common factor 564,514 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 388/564, 232/514

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 388/564, 232/514?

Answer: LCM of Numerators as per given numbers 388/564, 232/514 is

LCM of Numerators i.e. for 388,232 is 22504

GCF of denominators i.e. for 564,514 is 2.

Thus, LCM of Fractions is 11252.Finally, LCM of Fractions for 388/564, 232/514 is 11252.