Least Common Multiple of 10/205, 98/629, 512/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/205, 98/629, 512/895 quickly i.e. 125440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/205, 98/629, 512/895 is 125440.

LCM(10/205, 98/629, 512/895) = 125440

LCM of 10/205, 98/629, 512/895

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 10/205,98/629,512/895

Given numbers are 10/205,98/629,512/895

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 10,98,512

Least Common Multiple of Numerators i.e. LCM of 10,98,512 is 125440.

GCF of Denominators means GCF of 205,629,895 as per the given fractions.

GCF of 205,629,895 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,98,512

LCM of Fractions 10/205,98/629,512/895 is 125440

2 10, 98, 512
5, 49, 256

∴ So the LCM of the given numbers is 2 x 5 x 49 x 256 = 125440

Least Common Multiple of 10,98,512 with GCF Formula

Least Common Multiple of 10,98,512 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 10,98,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,98,512) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(10,98,512) x common factors =2 x 2 = 4

LCM(10,98,512) = ( 10 × 98 × 512 ) / 4

LCM(10,98,512) = 501760 / 4

LCM(10,98,512) = 125440


Lets's calculate GCF of 205,629,895

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125440/1

Therefore the LCM of Fractions 10/205,98/629,512/895 is 125440

Greatest Common Factor of 205,629,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,629,895 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Greatest Common Factor

We found the factors 205,629,895 . The biggest common factor number is the GCF number.
So the greatest common factor 205,629,895 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 10/205, 98/629, 512/895

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 10/205, 98/629, 512/895?

Answer: LCM of Numerators as per given numbers 10/205, 98/629, 512/895 is

LCM of Numerators i.e. for 10,98,512 is 125440

GCF of denominators i.e. for 205,629,895 is 1.

Thus, LCM of Fractions is 125440.Finally, LCM of Fractions for 10/205, 98/629, 512/895 is 125440.