Least Common Multiple of 705/344, 204/949, 103/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/344, 204/949, 103/581 quickly i.e. 4937820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/344, 204/949, 103/581 is 4937820.

LCM(705/344, 204/949, 103/581) = 4937820

LCM of 705/344, 204/949, 103/581

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 705/344,204/949,103/581

Given numbers are 705/344,204/949,103/581

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 705,204,103

Least Common Multiple of Numerators i.e. LCM of 705,204,103 is 4937820.

GCF of Denominators means GCF of 344,949,581 as per the given fractions.

GCF of 344,949,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,204,103

LCM of Fractions 705/344,204/949,103/581 is 4937820

3 705, 204, 103
235, 68, 103

∴ So the LCM of the given numbers is 3 x 235 x 68 x 103 = 4937820

Least Common Multiple of 705,204,103 with GCF Formula

Least Common Multiple of 705,204,103 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 705,204,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,204,103) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(705,204,103) x common factors =1 x 3 = 3

LCM(705,204,103) = ( 705 × 204 × 103 ) / 3

LCM(705,204,103) = 14813460 / 3

LCM(705,204,103) = 4937820


Lets's calculate GCF of 344,949,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4937820/1

Therefore the LCM of Fractions 705/344,204/949,103/581 is 4937820

Greatest Common Factor of 344,949,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,949,581 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 344,949,581 . The biggest common factor number is the GCF number.
So the greatest common factor 344,949,581 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 705/344, 204/949, 103/581

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 705/344, 204/949, 103/581?

Answer: LCM of Numerators as per given numbers 705/344, 204/949, 103/581 is

LCM of Numerators i.e. for 705,204,103 is 4937820

GCF of denominators i.e. for 344,949,581 is 1.

Thus, LCM of Fractions is 4937820.Finally, LCM of Fractions for 705/344, 204/949, 103/581 is 4937820.