Least Common Multiple of 65/361, 46/196, 170/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/361, 46/196, 170/621 quickly i.e. 50830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/361, 46/196, 170/621 is 50830.

LCM(65/361, 46/196, 170/621) = 50830

LCM of 65/361, 46/196, 170/621

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 65/361,46/196,170/621

Given numbers are 65/361,46/196,170/621

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 65,46,170

Least Common Multiple of Numerators i.e. LCM of 65,46,170 is 50830.

GCF of Denominators means GCF of 361,196,621 as per the given fractions.

GCF of 361,196,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,46,170

LCM of Fractions 65/361,46/196,170/621 is 50830

2 65, 46, 170
5 65, 23, 85
13, 23, 17

∴ So the LCM of the given numbers is 2 x 5 x 13 x 23 x 17 = 50830

Least Common Multiple of 65,46,170 with GCF Formula

Least Common Multiple of 65,46,170 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 65,46,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,46,170) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(65,46,170) x common factors =1 x 10 = 10

LCM(65,46,170) = ( 65 × 46 × 170 ) / 10

LCM(65,46,170) = 508300 / 10

LCM(65,46,170) = 50830


Lets's calculate GCF of 361,196,621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50830/1

Therefore the LCM of Fractions 65/361,46/196,170/621 is 50830

Greatest Common Factor of 361,196,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,196,621 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 361,196,621 . The biggest common factor number is the GCF number.
So the greatest common factor 361,196,621 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 65/361, 46/196, 170/621

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 65/361, 46/196, 170/621?

Answer: LCM of Numerators as per given numbers 65/361, 46/196, 170/621 is

LCM of Numerators i.e. for 65,46,170 is 50830

GCF of denominators i.e. for 361,196,621 is 1.

Thus, LCM of Fractions is 50830.Finally, LCM of Fractions for 65/361, 46/196, 170/621 is 50830.