Least Common Multiple of 170/93, 306/6123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 170/93, 306/6123 quickly i.e. 510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 170/93, 306/6123 is 510.

LCM(170/93, 306/6123) = 510

LCM of 170/93, 306/6123

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 170/93,306/6123

Given numbers are 170/93,306/6123

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 170,306

Least Common Multiple of Numerators i.e. LCM of 170,306 is 1530.

GCF of Denominators means GCF of 93,6123 as per the given fractions.

GCF of 93,6123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 170,306

LCM of Fractions 170/93,306/6123 is 510

2 170, 306
17 85, 153
5, 9

∴ So the LCM of the given numbers is 2 x 17 x 5 x 9 = 1530

Least Common Multiple of 170,306 with GCF Formula

Least Common Multiple of 170,306 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 170,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,306) = 34

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

GCF(170,306) x common factors =34 x 1 = 34

LCM(170,306) = ( 170 × 306 ) / 34

LCM(170,306) = 52020 / 34

LCM(170,306) = 1530


Lets's calculate GCF of 93,6123

3 93, 6123
31, 2041

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1530/3

Therefore the LCM of Fractions 170/93,306/6123 is 510

Greatest Common Factor of 93,6123 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,6123 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 6123

List of positive integer factors of 6123 that divides 6123 without a remainder.

1,3,13,39,157,471,2041,6123

Greatest Common Factor

We found the factors 93,6123 . The biggest common factor number is the GCF number.
So the greatest common factor 93,6123 is 3.


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 170/93, 306/6123

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 170/93, 306/6123?

Answer: LCM of Numerators as per given numbers 170/93, 306/6123 is

LCM of Numerators i.e. for 170,306 is 1530

GCF of denominators i.e. for 93,6123 is 3.

Thus, LCM of Fractions is 510.Finally, LCM of Fractions for 170/93, 306/6123 is 510.