Least Common Multiple of 7081/816, 4797/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7081/816, 4797/510 quickly i.e. 33967557/102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7081/816, 4797/510 is 33967557/102.

LCM(7081/816, 4797/510) = 33967557/102

LCM of 7081/816, 4797/510

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 7081/816,4797/510

Given numbers are 7081/816,4797/510

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 7081,4797

Least Common Multiple of Numerators i.e. LCM of 7081,4797 is 33967557.

GCF of Denominators means GCF of 816,510 as per the given fractions.

GCF of 816,510 is 102 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7081,4797

LCM of Fractions 7081/816,4797/510 is 33967557/102

Given numbers has no common factors except 1. So, there LCM is their product i.e 33967557

Least Common Multiple of 7081,4797 with GCF Formula

Least Common Multiple of 7081,4797 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 7081,4797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7081,4797) = 1

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

GCF(7081,4797) x common factors =1 x 1 = 1

LCM(7081,4797) = ( 7081 × 4797 ) / 1

LCM(7081,4797) = 33967557 / 1

LCM(7081,4797) = 33967557


Lets's calculate GCF of 816,510

2 816, 510
3 408, 255
17 136, 85
8, 5

∴ So the GCF of the given numbers is 2 x 3 x 17 = 102

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33967557/102

Therefore the LCM of Fractions 7081/816,4797/510 is 33967557/102

Greatest Common Factor of 816,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,510 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 816,510 . The biggest common factor number is the GCF number.
So the greatest common factor 816,510 is 102.


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 7081/816, 4797/510

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 7081/816, 4797/510?

Answer: LCM of Numerators as per given numbers 7081/816, 4797/510 is

LCM of Numerators i.e. for 7081,4797 is 33967557

GCF of denominators i.e. for 816,510 is 102.

Thus, LCM of Fractions is 33967557/102.Finally, LCM of Fractions for 7081/816, 4797/510 is 33967557/102.