Least Common Multiple of 1430/400, 3584/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1430/400, 3584/434 quickly i.e. 1281280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1430/400, 3584/434 is 1281280.

LCM(1430/400, 3584/434) = 1281280

LCM of 1430/400, 3584/434

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 1430/400,3584/434

Given numbers are 1430/400,3584/434

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 1430,3584

Least Common Multiple of Numerators i.e. LCM of 1430,3584 is 2562560.

GCF of Denominators means GCF of 400,434 as per the given fractions.

GCF of 400,434 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1430,3584

LCM of Fractions 1430/400,3584/434 is 1281280

2 1430, 3584
715, 1792

∴ So the LCM of the given numbers is 2 x 715 x 1792 = 2562560

Least Common Multiple of 1430,3584 with GCF Formula

Least Common Multiple of 1430,3584 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 1430,3584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1430,3584) = 2

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

GCF(1430,3584) x common factors =2 x 1 = 2

LCM(1430,3584) = ( 1430 × 3584 ) / 2

LCM(1430,3584) = 5125120 / 2

LCM(1430,3584) = 2562560


Lets's calculate GCF of 400,434

2 400, 434
200, 217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2562560/2

Therefore the LCM of Fractions 1430/400,3584/434 is 1281280

Greatest Common Factor of 400,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,434 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 434

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

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

Greatest Common Factor

We found the factors 400,434 . The biggest common factor number is the GCF number.
So the greatest common factor 400,434 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 1430/400, 3584/434

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 1430/400, 3584/434?

Answer: LCM of Numerators as per given numbers 1430/400, 3584/434 is

LCM of Numerators i.e. for 1430,3584 is 2562560

GCF of denominators i.e. for 400,434 is 2.

Thus, LCM of Fractions is 1281280.Finally, LCM of Fractions for 1430/400, 3584/434 is 1281280.