Least Common Multiple of 428/433, 6014/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/433, 6014/854 quickly i.e. 1286996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/433, 6014/854 is 1286996.

LCM(428/433, 6014/854) = 1286996

LCM of 428/433, 6014/854

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 428/433,6014/854

Given numbers are 428/433,6014/854

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 428,6014

Least Common Multiple of Numerators i.e. LCM of 428,6014 is 1286996.

GCF of Denominators means GCF of 433,854 as per the given fractions.

GCF of 433,854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,6014

LCM of Fractions 428/433,6014/854 is 1286996

2 428, 6014
214, 3007

∴ So the LCM of the given numbers is 2 x 214 x 3007 = 1286996

Least Common Multiple of 428,6014 with GCF Formula

Least Common Multiple of 428,6014 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 428,6014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,6014) = 2

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

GCF(428,6014) x common factors =2 x 1 = 2

LCM(428,6014) = ( 428 × 6014 ) / 2

LCM(428,6014) = 2573992 / 2

LCM(428,6014) = 1286996


Lets's calculate GCF of 433,854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1286996/1

Therefore the LCM of Fractions 428/433,6014/854 is 1286996

Greatest Common Factor of 433,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,854 By Matching Biggest Common Factor Method

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 433,854 . The biggest common factor number is the GCF number.
So the greatest common factor 433,854 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 428/433, 6014/854

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 428/433, 6014/854?

Answer: LCM of Numerators as per given numbers 428/433, 6014/854 is

LCM of Numerators i.e. for 428,6014 is 1286996

GCF of denominators i.e. for 433,854 is 1.

Thus, LCM of Fractions is 1286996.Finally, LCM of Fractions for 428/433, 6014/854 is 1286996.