Least Common Multiple of 74/863, 61/834, 609/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/863, 61/834, 609/389 quickly i.e. 2749026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/863, 61/834, 609/389 is 2749026.

LCM(74/863, 61/834, 609/389) = 2749026

LCM of 74/863, 61/834, 609/389

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 74/863,61/834,609/389

Given numbers are 74/863,61/834,609/389

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 74,61,609

Least Common Multiple of Numerators i.e. LCM of 74,61,609 is 2749026.

GCF of Denominators means GCF of 863,834,389 as per the given fractions.

GCF of 863,834,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,61,609

LCM of Fractions 74/863,61/834,609/389 is 2749026

Given numbers has no common factors except 1. So, there LCM is their product i.e 2749026

Least Common Multiple of 74,61,609 with GCF Formula

Least Common Multiple of 74,61,609 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 74,61,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,61,609) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(74,61,609) x common factors =1 x 1 = 1

LCM(74,61,609) = ( 74 × 61 × 609 ) / 1

LCM(74,61,609) = 2749026 / 1

LCM(74,61,609) = 2749026


Lets's calculate GCF of 863,834,389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2749026/1

Therefore the LCM of Fractions 74/863,61/834,609/389 is 2749026

Greatest Common Factor of 863,834,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,834,389 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 863,834,389 . The biggest common factor number is the GCF number.
So the greatest common factor 863,834,389 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 74/863, 61/834, 609/389

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 74/863, 61/834, 609/389?

Answer: LCM of Numerators as per given numbers 74/863, 61/834, 609/389 is

LCM of Numerators i.e. for 74,61,609 is 2749026

GCF of denominators i.e. for 863,834,389 is 1.

Thus, LCM of Fractions is 2749026.Finally, LCM of Fractions for 74/863, 61/834, 609/389 is 2749026.