Least Common Multiple of 59/48, 25/510, 475/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/48, 25/510, 475/348 quickly i.e. 28025/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/48, 25/510, 475/348 is 28025/6.

LCM(59/48, 25/510, 475/348) = 28025/6

LCM of 59/48, 25/510, 475/348

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 59/48,25/510,475/348

Given numbers are 59/48,25/510,475/348

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 59,25,475

Least Common Multiple of Numerators i.e. LCM of 59,25,475 is 28025.

GCF of Denominators means GCF of 48,510,348 as per the given fractions.

GCF of 48,510,348 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,25,475

LCM of Fractions 59/48,25/510,475/348 is 28025/6

5 59, 25, 475
5 59, 5, 95
59, 1, 19

∴ So the LCM of the given numbers is 5 x 5 x 59 x 1 x 19 = 28025

Least Common Multiple of 59,25,475 with GCF Formula

Least Common Multiple of 59,25,475 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 59,25,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,25,475) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(59,25,475) x common factors =1 x 25 = 25

LCM(59,25,475) = ( 59 × 25 × 475 ) / 25

LCM(59,25,475) = 700625 / 25

LCM(59,25,475) = 28025


Lets's calculate GCF of 48,510,348

2 48, 510, 348
3 24, 255, 174
8, 85, 58

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28025/6

Therefore the LCM of Fractions 59/48,25/510,475/348 is 28025/6

Greatest Common Factor of 48,510,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,510,348 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

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

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 48,510,348 . The biggest common factor number is the GCF number.
So the greatest common factor 48,510,348 is 6.


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 59/48, 25/510, 475/348

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 59/48, 25/510, 475/348?

Answer: LCM of Numerators as per given numbers 59/48, 25/510, 475/348 is

LCM of Numerators i.e. for 59,25,475 is 28025

GCF of denominators i.e. for 48,510,348 is 6.

Thus, LCM of Fractions is 28025/6.Finally, LCM of Fractions for 59/48, 25/510, 475/348 is 28025/6.