Least Common Multiple of 584/434, 1408/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/434, 1408/966 quickly i.e. 102784/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/434, 1408/966 is 102784/14.

LCM(584/434, 1408/966) = 102784/14

LCM of 584/434, 1408/966

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 584/434,1408/966

Given numbers are 584/434,1408/966

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 584,1408

Least Common Multiple of Numerators i.e. LCM of 584,1408 is 102784.

GCF of Denominators means GCF of 434,966 as per the given fractions.

GCF of 434,966 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,1408

LCM of Fractions 584/434,1408/966 is 102784/14

2 584, 1408
2 292, 704
2 146, 352
73, 176

∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 176 = 102784

Least Common Multiple of 584,1408 with GCF Formula

Least Common Multiple of 584,1408 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 584,1408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,1408) = 8

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

GCF(584,1408) x common factors =8 x 1 = 8

LCM(584,1408) = ( 584 × 1408 ) / 8

LCM(584,1408) = 822272 / 8

LCM(584,1408) = 102784


Lets's calculate GCF of 434,966

2 434, 966
7 217, 483
31, 69

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102784/14

Therefore the LCM of Fractions 584/434,1408/966 is 102784/14

Greatest Common Factor of 434,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,966 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 434,966 . The biggest common factor number is the GCF number.
So the greatest common factor 434,966 is 14.


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 584/434, 1408/966

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 584/434, 1408/966?

Answer: LCM of Numerators as per given numbers 584/434, 1408/966 is

LCM of Numerators i.e. for 584,1408 is 102784

GCF of denominators i.e. for 434,966 is 14.

Thus, LCM of Fractions is 102784/14.Finally, LCM of Fractions for 584/434, 1408/966 is 102784/14.