Least Common Multiple of 13/898, 764/829, 782/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/898, 764/829, 782/742 quickly i.e. 3883412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/898, 764/829, 782/742 is 3883412.

LCM(13/898, 764/829, 782/742) = 3883412

LCM of 13/898, 764/829, 782/742

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 13/898,764/829,782/742

Given numbers are 13/898,764/829,782/742

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 13,764,782

Least Common Multiple of Numerators i.e. LCM of 13,764,782 is 3883412.

GCF of Denominators means GCF of 898,829,742 as per the given fractions.

GCF of 898,829,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,764,782

LCM of Fractions 13/898,764/829,782/742 is 3883412

2 13, 764, 782
13, 382, 391

∴ So the LCM of the given numbers is 2 x 13 x 382 x 391 = 3883412

Least Common Multiple of 13,764,782 with GCF Formula

Least Common Multiple of 13,764,782 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 13,764,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,764,782) = 1

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

GCF(13,764,782) x common factors =1 x 2 = 2

LCM(13,764,782) = ( 13 × 764 × 782 ) / 2

LCM(13,764,782) = 7766824 / 2

LCM(13,764,782) = 3883412


Lets's calculate GCF of 898,829,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3883412/1

Therefore the LCM of Fractions 13/898,764/829,782/742 is 3883412

Greatest Common Factor of 898,829,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,829,742 By Matching Biggest Common Factor Method

Factors of 898

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

1,2,449,898

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 898,829,742 . The biggest common factor number is the GCF number.
So the greatest common factor 898,829,742 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 13/898, 764/829, 782/742

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 13/898, 764/829, 782/742?

Answer: LCM of Numerators as per given numbers 13/898, 764/829, 782/742 is

LCM of Numerators i.e. for 13,764,782 is 3883412

GCF of denominators i.e. for 898,829,742 is 1.

Thus, LCM of Fractions is 3883412.Finally, LCM of Fractions for 13/898, 764/829, 782/742 is 3883412.