Least Common Multiple of 128/854, 259/401, 518/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 128/854, 259/401, 518/298 quickly i.e. 33152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 128/854, 259/401, 518/298 is 33152.

LCM(128/854, 259/401, 518/298) = 33152

LCM of 128/854, 259/401, 518/298

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 128/854,259/401,518/298

Given numbers are 128/854,259/401,518/298

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 128,259,518

Least Common Multiple of Numerators i.e. LCM of 128,259,518 is 33152.

GCF of Denominators means GCF of 854,401,298 as per the given fractions.

GCF of 854,401,298 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 128,259,518

LCM of Fractions 128/854,259/401,518/298 is 33152

2 128, 259, 518
7 64, 259, 259
37 64, 37, 37
64, 1, 1

∴ So the LCM of the given numbers is 2 x 7 x 37 x 64 x 1 x 1 = 33152

Least Common Multiple of 128,259,518 with GCF Formula

Least Common Multiple of 128,259,518 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 128,259,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,259,518) = 1

common factors(in case of two or more numbers have common factors) = 518

GCF(128,259,518) x common factors =1 x 518 = 518

LCM(128,259,518) = ( 128 × 259 × 518 ) / 518

LCM(128,259,518) = 17172736 / 518

LCM(128,259,518) = 33152


Lets's calculate GCF of 854,401,298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33152/1

Therefore the LCM of Fractions 128/854,259/401,518/298 is 33152

Greatest Common Factor of 854,401,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,401,298 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 854,401,298 . The biggest common factor number is the GCF number.
So the greatest common factor 854,401,298 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 128/854, 259/401, 518/298

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 128/854, 259/401, 518/298?

Answer: LCM of Numerators as per given numbers 128/854, 259/401, 518/298 is

LCM of Numerators i.e. for 128,259,518 is 33152

GCF of denominators i.e. for 854,401,298 is 1.

Thus, LCM of Fractions is 33152.Finally, LCM of Fractions for 128/854, 259/401, 518/298 is 33152.