Least Common Multiple of 75/848, 29/514, 855/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/848, 29/514, 855/235 quickly i.e. 123975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/848, 29/514, 855/235 is 123975.

LCM(75/848, 29/514, 855/235) = 123975

LCM of 75/848, 29/514, 855/235

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 75/848,29/514,855/235

Given numbers are 75/848,29/514,855/235

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 75,29,855

Least Common Multiple of Numerators i.e. LCM of 75,29,855 is 123975.

GCF of Denominators means GCF of 848,514,235 as per the given fractions.

GCF of 848,514,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,29,855

LCM of Fractions 75/848,29/514,855/235 is 123975

3 75, 29, 855
5 25, 29, 285
5, 29, 57

∴ So the LCM of the given numbers is 3 x 5 x 5 x 29 x 57 = 123975

Least Common Multiple of 75,29,855 with GCF Formula

Least Common Multiple of 75,29,855 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 75,29,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,29,855) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,29,855) x common factors =1 x 15 = 15

LCM(75,29,855) = ( 75 × 29 × 855 ) / 15

LCM(75,29,855) = 1859625 / 15

LCM(75,29,855) = 123975


Lets's calculate GCF of 848,514,235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123975/1

Therefore the LCM of Fractions 75/848,29/514,855/235 is 123975

Greatest Common Factor of 848,514,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,514,235 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 848,514,235 . The biggest common factor number is the GCF number.
So the greatest common factor 848,514,235 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 75/848, 29/514, 855/235

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 75/848, 29/514, 855/235?

Answer: LCM of Numerators as per given numbers 75/848, 29/514, 855/235 is

LCM of Numerators i.e. for 75,29,855 is 123975

GCF of denominators i.e. for 848,514,235 is 1.

Thus, LCM of Fractions is 123975.Finally, LCM of Fractions for 75/848, 29/514, 855/235 is 123975.