Least Common Multiple of 269/35, 560/53, 568/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 269/35, 560/53, 568/647 quickly i.e. 10695440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 269/35, 560/53, 568/647 is 10695440.

LCM(269/35, 560/53, 568/647) = 10695440

LCM of 269/35, 560/53, 568/647

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 269/35,560/53,568/647

Given numbers are 269/35,560/53,568/647

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 269,560,568

Least Common Multiple of Numerators i.e. LCM of 269,560,568 is 10695440.

GCF of Denominators means GCF of 35,53,647 as per the given fractions.

GCF of 35,53,647 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 269,560,568

LCM of Fractions 269/35,560/53,568/647 is 10695440

2 269, 560, 568
2 269, 280, 284
2 269, 140, 142
269, 70, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 269 x 70 x 71 = 10695440

Least Common Multiple of 269,560,568 with GCF Formula

Least Common Multiple of 269,560,568 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 269,560,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,560,568) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(269,560,568) x common factors =1 x 8 = 8

LCM(269,560,568) = ( 269 × 560 × 568 ) / 8

LCM(269,560,568) = 85563520 / 8

LCM(269,560,568) = 10695440


Lets's calculate GCF of 35,53,647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10695440/1

Therefore the LCM of Fractions 269/35,560/53,568/647 is 10695440

Greatest Common Factor of 35,53,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,53,647 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Greatest Common Factor

We found the factors 35,53,647 . The biggest common factor number is the GCF number.
So the greatest common factor 35,53,647 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 269/35, 560/53, 568/647

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 269/35, 560/53, 568/647?

Answer: LCM of Numerators as per given numbers 269/35, 560/53, 568/647 is

LCM of Numerators i.e. for 269,560,568 is 10695440

GCF of denominators i.e. for 35,53,647 is 1.

Thus, LCM of Fractions is 10695440.Finally, LCM of Fractions for 269/35, 560/53, 568/647 is 10695440.