Least Common Multiple of 426/512, 564/329, 322/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/512, 564/329, 322/388 quickly i.e. 6447084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/512, 564/329, 322/388 is 6447084.

LCM(426/512, 564/329, 322/388) = 6447084

LCM of 426/512, 564/329, 322/388

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 426/512,564/329,322/388

Given numbers are 426/512,564/329,322/388

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 426,564,322

Least Common Multiple of Numerators i.e. LCM of 426,564,322 is 6447084.

GCF of Denominators means GCF of 512,329,388 as per the given fractions.

GCF of 512,329,388 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,564,322

LCM of Fractions 426/512,564/329,322/388 is 6447084

2 426, 564, 322
3 213, 282, 161
71, 94, 161

∴ So the LCM of the given numbers is 2 x 3 x 71 x 94 x 161 = 6447084

Least Common Multiple of 426,564,322 with GCF Formula

Least Common Multiple of 426,564,322 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 426,564,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,564,322) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(426,564,322) x common factors =2 x 6 = 12

LCM(426,564,322) = ( 426 × 564 × 322 ) / 12

LCM(426,564,322) = 77365008 / 12

LCM(426,564,322) = 6447084


Lets's calculate GCF of 512,329,388

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6447084/1

Therefore the LCM of Fractions 426/512,564/329,322/388 is 6447084

Greatest Common Factor of 512,329,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,329,388 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 512,329,388 . The biggest common factor number is the GCF number.
So the greatest common factor 512,329,388 is 1.


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 426/512, 564/329, 322/388

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 426/512, 564/329, 322/388?

Answer: LCM of Numerators as per given numbers 426/512, 564/329, 322/388 is

LCM of Numerators i.e. for 426,564,322 is 6447084

GCF of denominators i.e. for 512,329,388 is 1.

Thus, LCM of Fractions is 6447084.Finally, LCM of Fractions for 426/512, 564/329, 322/388 is 6447084.