Least Common Multiple of 17/355, 361/220, 682/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/355, 361/220, 682/705 quickly i.e. 4185434/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/355, 361/220, 682/705 is 4185434/5.

LCM(17/355, 361/220, 682/705) = 4185434/5

LCM of 17/355, 361/220, 682/705

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 17/355,361/220,682/705

Given numbers are 17/355,361/220,682/705

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 17,361,682

Least Common Multiple of Numerators i.e. LCM of 17,361,682 is 4185434.

GCF of Denominators means GCF of 355,220,705 as per the given fractions.

GCF of 355,220,705 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,361,682

LCM of Fractions 17/355,361/220,682/705 is 4185434/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 4185434

Least Common Multiple of 17,361,682 with GCF Formula

Least Common Multiple of 17,361,682 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 17,361,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,361,682) = 1

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

GCF(17,361,682) x common factors =1 x 1 = 1

LCM(17,361,682) = ( 17 × 361 × 682 ) / 1

LCM(17,361,682) = 4185434 / 1

LCM(17,361,682) = 4185434


Lets's calculate GCF of 355,220,705

5 355, 220, 705
71, 44, 141

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4185434/5

Therefore the LCM of Fractions 17/355,361/220,682/705 is 4185434/5

Greatest Common Factor of 355,220,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,220,705 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 355,220,705 . The biggest common factor number is the GCF number.
So the greatest common factor 355,220,705 is 5.


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 17/355, 361/220, 682/705

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 17/355, 361/220, 682/705?

Answer: LCM of Numerators as per given numbers 17/355, 361/220, 682/705 is

LCM of Numerators i.e. for 17,361,682 is 4185434

GCF of denominators i.e. for 355,220,705 is 5.

Thus, LCM of Fractions is 4185434/5.Finally, LCM of Fractions for 17/355, 361/220, 682/705 is 4185434/5.