Least Common Multiple of 159/612, 175/917, 945/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 159/612, 175/917, 945/898 quickly i.e. 250425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 159/612, 175/917, 945/898 is 250425.

LCM(159/612, 175/917, 945/898) = 250425

LCM of 159/612, 175/917, 945/898

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 159/612,175/917,945/898

Given numbers are 159/612,175/917,945/898

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 159,175,945

Least Common Multiple of Numerators i.e. LCM of 159,175,945 is 250425.

GCF of Denominators means GCF of 612,917,898 as per the given fractions.

GCF of 612,917,898 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 159,175,945

LCM of Fractions 159/612,175/917,945/898 is 250425

3 159, 175, 945
5 53, 175, 315
7 53, 35, 63
53, 5, 9

∴ So the LCM of the given numbers is 3 x 5 x 7 x 53 x 5 x 9 = 250425

Least Common Multiple of 159,175,945 with GCF Formula

Least Common Multiple of 159,175,945 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 159,175,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,175,945) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(159,175,945) x common factors =1 x 105 = 105

LCM(159,175,945) = ( 159 × 175 × 945 ) / 105

LCM(159,175,945) = 26294625 / 105

LCM(159,175,945) = 250425


Lets's calculate GCF of 612,917,898

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250425/1

Therefore the LCM of Fractions 159/612,175/917,945/898 is 250425

Greatest Common Factor of 612,917,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,917,898 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 612,917,898 . The biggest common factor number is the GCF number.
So the greatest common factor 612,917,898 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 159/612, 175/917, 945/898

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 159/612, 175/917, 945/898?

Answer: LCM of Numerators as per given numbers 159/612, 175/917, 945/898 is

LCM of Numerators i.e. for 159,175,945 is 250425

GCF of denominators i.e. for 612,917,898 is 1.

Thus, LCM of Fractions is 250425.Finally, LCM of Fractions for 159/612, 175/917, 945/898 is 250425.