Least Common Multiple of 1722/51, 9508/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1722/51, 9508/483 quickly i.e. 2728796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1722/51, 9508/483 is 2728796.

LCM(1722/51, 9508/483) = 2728796

LCM of 1722/51, 9508/483

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 1722/51,9508/483

Given numbers are 1722/51,9508/483

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 1722,9508

Least Common Multiple of Numerators i.e. LCM of 1722,9508 is 8186388.

GCF of Denominators means GCF of 51,483 as per the given fractions.

GCF of 51,483 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1722,9508

LCM of Fractions 1722/51,9508/483 is 2728796

2 1722, 9508
861, 4754

∴ So the LCM of the given numbers is 2 x 861 x 4754 = 8186388

Least Common Multiple of 1722,9508 with GCF Formula

Least Common Multiple of 1722,9508 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 1722,9508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1722,9508) = 2

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

GCF(1722,9508) x common factors =2 x 1 = 2

LCM(1722,9508) = ( 1722 × 9508 ) / 2

LCM(1722,9508) = 16372776 / 2

LCM(1722,9508) = 8186388


Lets's calculate GCF of 51,483

3 51, 483
17, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8186388/3

Therefore the LCM of Fractions 1722/51,9508/483 is 2728796

Greatest Common Factor of 51,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,483 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 51,483 . The biggest common factor number is the GCF number.
So the greatest common factor 51,483 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 1722/51, 9508/483

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 1722/51, 9508/483?

Answer: LCM of Numerators as per given numbers 1722/51, 9508/483 is

LCM of Numerators i.e. for 1722,9508 is 8186388

GCF of denominators i.e. for 51,483 is 3.

Thus, LCM of Fractions is 2728796.Finally, LCM of Fractions for 1722/51, 9508/483 is 2728796.