Least Common Multiple of 64/84, 89/14, 716/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/84, 89/14, 716/592 quickly i.e. 509792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/84, 89/14, 716/592 is 509792.

LCM(64/84, 89/14, 716/592) = 509792

LCM of 64/84, 89/14, 716/592

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 64/84,89/14,716/592

Given numbers are 64/84,89/14,716/592

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 64,89,716

Least Common Multiple of Numerators i.e. LCM of 64,89,716 is 1019584.

GCF of Denominators means GCF of 84,14,592 as per the given fractions.

GCF of 84,14,592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,89,716

LCM of Fractions 64/84,89/14,716/592 is 509792

2 64, 89, 716
2 32, 89, 358
16, 89, 179

∴ So the LCM of the given numbers is 2 x 2 x 16 x 89 x 179 = 1019584

Least Common Multiple of 64,89,716 with GCF Formula

Least Common Multiple of 64,89,716 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 64,89,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,89,716) = 1

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

GCF(64,89,716) x common factors =1 x 4 = 4

LCM(64,89,716) = ( 64 × 89 × 716 ) / 4

LCM(64,89,716) = 4078336 / 4

LCM(64,89,716) = 1019584


Lets's calculate GCF of 84,14,592

2 84, 14, 592
42, 7, 296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1019584/2

Therefore the LCM of Fractions 64/84,89/14,716/592 is 509792

Greatest Common Factor of 84,14,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,14,592 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 84,14,592 . The biggest common factor number is the GCF number.
So the greatest common factor 84,14,592 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 64/84, 89/14, 716/592

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 64/84, 89/14, 716/592?

Answer: LCM of Numerators as per given numbers 64/84, 89/14, 716/592 is

LCM of Numerators i.e. for 64,89,716 is 1019584

GCF of denominators i.e. for 84,14,592 is 2.

Thus, LCM of Fractions is 509792.Finally, LCM of Fractions for 64/84, 89/14, 716/592 is 509792.