Least Common Multiple of 35/544, 7286/8080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/544, 7286/8080 quickly i.e. 255010/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/544, 7286/8080 is 255010/16.

LCM(35/544, 7286/8080) = 255010/16

LCM of 35/544, 7286/8080

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 35/544,7286/8080

Given numbers are 35/544,7286/8080

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 35,7286

Least Common Multiple of Numerators i.e. LCM of 35,7286 is 255010.

GCF of Denominators means GCF of 544,8080 as per the given fractions.

GCF of 544,8080 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,7286

LCM of Fractions 35/544,7286/8080 is 255010/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 255010

Least Common Multiple of 35,7286 with GCF Formula

Least Common Multiple of 35,7286 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 35,7286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,7286) = 1

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

GCF(35,7286) x common factors =1 x 1 = 1

LCM(35,7286) = ( 35 × 7286 ) / 1

LCM(35,7286) = 255010 / 1

LCM(35,7286) = 255010


Lets's calculate GCF of 544,8080

2 544, 8080
2 272, 4040
2 136, 2020
2 68, 1010
34, 505

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255010/16

Therefore the LCM of Fractions 35/544,7286/8080 is 255010/16

Greatest Common Factor of 544,8080 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,8080 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 8080

List of positive integer factors of 8080 that divides 8080 without a remainder.

1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080

Greatest Common Factor

We found the factors 544,8080 . The biggest common factor number is the GCF number.
So the greatest common factor 544,8080 is 16.


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 35/544, 7286/8080

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 35/544, 7286/8080?

Answer: LCM of Numerators as per given numbers 35/544, 7286/8080 is

LCM of Numerators i.e. for 35,7286 is 255010

GCF of denominators i.e. for 544,8080 is 16.

Thus, LCM of Fractions is 255010/16.Finally, LCM of Fractions for 35/544, 7286/8080 is 255010/16.