Least Common Multiple of 6511/496, 2235/1562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6511/496, 2235/1562 quickly i.e. 14552085/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6511/496, 2235/1562 is 14552085/2.

LCM(6511/496, 2235/1562) = 14552085/2

LCM of 6511/496, 2235/1562

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 6511/496,2235/1562

Given numbers are 6511/496,2235/1562

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 6511,2235

Least Common Multiple of Numerators i.e. LCM of 6511,2235 is 14552085.

GCF of Denominators means GCF of 496,1562 as per the given fractions.

GCF of 496,1562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6511,2235

LCM of Fractions 6511/496,2235/1562 is 14552085/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 14552085

Least Common Multiple of 6511,2235 with GCF Formula

Least Common Multiple of 6511,2235 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 6511,2235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6511,2235) = 1

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

GCF(6511,2235) x common factors =1 x 1 = 1

LCM(6511,2235) = ( 6511 × 2235 ) / 1

LCM(6511,2235) = 14552085 / 1

LCM(6511,2235) = 14552085


Lets's calculate GCF of 496,1562

2 496, 1562
248, 781

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14552085/2

Therefore the LCM of Fractions 6511/496,2235/1562 is 14552085/2

Greatest Common Factor of 496,1562 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,1562 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 1562

List of positive integer factors of 1562 that divides 1562 without a remainder.

1,2,11,22,71,142,781,1562

Greatest Common Factor

We found the factors 496,1562 . The biggest common factor number is the GCF number.
So the greatest common factor 496,1562 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 6511/496, 2235/1562

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 6511/496, 2235/1562?

Answer: LCM of Numerators as per given numbers 6511/496, 2235/1562 is

LCM of Numerators i.e. for 6511,2235 is 14552085

GCF of denominators i.e. for 496,1562 is 2.

Thus, LCM of Fractions is 14552085/2.Finally, LCM of Fractions for 6511/496, 2235/1562 is 14552085/2.