Least Common Multiple of 5669/258, 9672/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5669/258, 9672/569 quickly i.e. 54830568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5669/258, 9672/569 is 54830568.

LCM(5669/258, 9672/569) = 54830568

LCM of 5669/258, 9672/569

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 5669/258,9672/569

Given numbers are 5669/258,9672/569

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 5669,9672

Least Common Multiple of Numerators i.e. LCM of 5669,9672 is 54830568.

GCF of Denominators means GCF of 258,569 as per the given fractions.

GCF of 258,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5669,9672

LCM of Fractions 5669/258,9672/569 is 54830568

Given numbers has no common factors except 1. So, there LCM is their product i.e 54830568

Least Common Multiple of 5669,9672 with GCF Formula

Least Common Multiple of 5669,9672 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 5669,9672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5669,9672) = 1

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

GCF(5669,9672) x common factors =1 x 1 = 1

LCM(5669,9672) = ( 5669 × 9672 ) / 1

LCM(5669,9672) = 54830568 / 1

LCM(5669,9672) = 54830568


Lets's calculate GCF of 258,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54830568/1

Therefore the LCM of Fractions 5669/258,9672/569 is 54830568

Greatest Common Factor of 258,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,569 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 258,569 . The biggest common factor number is the GCF number.
So the greatest common factor 258,569 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 5669/258, 9672/569

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 5669/258, 9672/569?

Answer: LCM of Numerators as per given numbers 5669/258, 9672/569 is

LCM of Numerators i.e. for 5669,9672 is 54830568

GCF of denominators i.e. for 258,569 is 1.

Thus, LCM of Fractions is 54830568.Finally, LCM of Fractions for 5669/258, 9672/569 is 54830568.