Least Common Multiple of 29/360, 462/31, 382/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/360, 462/31, 382/898 quickly i.e. 2559018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/360, 462/31, 382/898 is 2559018.

LCM(29/360, 462/31, 382/898) = 2559018

LCM of 29/360, 462/31, 382/898

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 29/360,462/31,382/898

Given numbers are 29/360,462/31,382/898

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 29,462,382

Least Common Multiple of Numerators i.e. LCM of 29,462,382 is 2559018.

GCF of Denominators means GCF of 360,31,898 as per the given fractions.

GCF of 360,31,898 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,462,382

LCM of Fractions 29/360,462/31,382/898 is 2559018

2 29, 462, 382
29, 231, 191

∴ So the LCM of the given numbers is 2 x 29 x 231 x 191 = 2559018

Least Common Multiple of 29,462,382 with GCF Formula

Least Common Multiple of 29,462,382 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 29,462,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,462,382) = 1

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

GCF(29,462,382) x common factors =1 x 2 = 2

LCM(29,462,382) = ( 29 × 462 × 382 ) / 2

LCM(29,462,382) = 5118036 / 2

LCM(29,462,382) = 2559018


Lets's calculate GCF of 360,31,898

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2559018/1

Therefore the LCM of Fractions 29/360,462/31,382/898 is 2559018

Greatest Common Factor of 360,31,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,31,898 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

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 360,31,898 . The biggest common factor number is the GCF number.
So the greatest common factor 360,31,898 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 29/360, 462/31, 382/898

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 29/360, 462/31, 382/898?

Answer: LCM of Numerators as per given numbers 29/360, 462/31, 382/898 is

LCM of Numerators i.e. for 29,462,382 is 2559018

GCF of denominators i.e. for 360,31,898 is 1.

Thus, LCM of Fractions is 2559018.Finally, LCM of Fractions for 29/360, 462/31, 382/898 is 2559018.