Least Common Multiple of 4223/56, 4689/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4223/56, 4689/434 quickly i.e. 19801647/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4223/56, 4689/434 is 19801647/14.

LCM(4223/56, 4689/434) = 19801647/14

LCM of 4223/56, 4689/434

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 4223/56,4689/434

Given numbers are 4223/56,4689/434

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 4223,4689

Least Common Multiple of Numerators i.e. LCM of 4223,4689 is 19801647.

GCF of Denominators means GCF of 56,434 as per the given fractions.

GCF of 56,434 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4223,4689

LCM of Fractions 4223/56,4689/434 is 19801647/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 19801647

Least Common Multiple of 4223,4689 with GCF Formula

Least Common Multiple of 4223,4689 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 4223,4689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4223,4689) = 1

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

GCF(4223,4689) x common factors =1 x 1 = 1

LCM(4223,4689) = ( 4223 × 4689 ) / 1

LCM(4223,4689) = 19801647 / 1

LCM(4223,4689) = 19801647


Lets's calculate GCF of 56,434

2 56, 434
7 28, 217
4, 31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19801647/14

Therefore the LCM of Fractions 4223/56,4689/434 is 19801647/14

Greatest Common Factor of 56,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,434 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

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 56,434 . The biggest common factor number is the GCF number.
So the greatest common factor 56,434 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 4223/56, 4689/434

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 4223/56, 4689/434?

Answer: LCM of Numerators as per given numbers 4223/56, 4689/434 is

LCM of Numerators i.e. for 4223,4689 is 19801647

GCF of denominators i.e. for 56,434 is 14.

Thus, LCM of Fractions is 19801647/14.Finally, LCM of Fractions for 4223/56, 4689/434 is 19801647/14.