Least Common Multiple of 35/59, 14/280, 502/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/59, 14/280, 502/128 quickly i.e. 17570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/59, 14/280, 502/128 is 17570.

LCM(35/59, 14/280, 502/128) = 17570

LCM of 35/59, 14/280, 502/128

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 35/59,14/280,502/128

Given numbers are 35/59,14/280,502/128

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 35,14,502

Least Common Multiple of Numerators i.e. LCM of 35,14,502 is 17570.

GCF of Denominators means GCF of 59,280,128 as per the given fractions.

GCF of 59,280,128 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,14,502

LCM of Fractions 35/59,14/280,502/128 is 17570

2 35, 14, 502
7 35, 7, 251
5, 1, 251

∴ So the LCM of the given numbers is 2 x 7 x 5 x 1 x 251 = 17570

Least Common Multiple of 35,14,502 with GCF Formula

Least Common Multiple of 35,14,502 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 35,14,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,14,502) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(35,14,502) x common factors =1 x 14 = 14

LCM(35,14,502) = ( 35 × 14 × 502 ) / 14

LCM(35,14,502) = 245980 / 14

LCM(35,14,502) = 17570


Lets's calculate GCF of 59,280,128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17570/1

Therefore the LCM of Fractions 35/59,14/280,502/128 is 17570

Greatest Common Factor of 59,280,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,280,128 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 59,280,128 . The biggest common factor number is the GCF number.
So the greatest common factor 59,280,128 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 35/59, 14/280, 502/128

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 35/59, 14/280, 502/128?

Answer: LCM of Numerators as per given numbers 35/59, 14/280, 502/128 is

LCM of Numerators i.e. for 35,14,502 is 17570

GCF of denominators i.e. for 59,280,128 is 1.

Thus, LCM of Fractions is 17570.Finally, LCM of Fractions for 35/59, 14/280, 502/128 is 17570.