Least Common Multiple of 23/17, 312/49, 913/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/17, 312/49, 913/508 quickly i.e. 6551688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/17, 312/49, 913/508 is 6551688.

LCM(23/17, 312/49, 913/508) = 6551688

LCM of 23/17, 312/49, 913/508

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 23/17,312/49,913/508

Given numbers are 23/17,312/49,913/508

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 23,312,913

Least Common Multiple of Numerators i.e. LCM of 23,312,913 is 6551688.

GCF of Denominators means GCF of 17,49,508 as per the given fractions.

GCF of 17,49,508 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,312,913

LCM of Fractions 23/17,312/49,913/508 is 6551688

Given numbers has no common factors except 1. So, there LCM is their product i.e 6551688

Least Common Multiple of 23,312,913 with GCF Formula

Least Common Multiple of 23,312,913 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 23,312,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,312,913) = 1

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

GCF(23,312,913) x common factors =1 x 1 = 1

LCM(23,312,913) = ( 23 × 312 × 913 ) / 1

LCM(23,312,913) = 6551688 / 1

LCM(23,312,913) = 6551688


Lets's calculate GCF of 17,49,508

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6551688/1

Therefore the LCM of Fractions 23/17,312/49,913/508 is 6551688

Greatest Common Factor of 17,49,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,49,508 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 17,49,508 . The biggest common factor number is the GCF number.
So the greatest common factor 17,49,508 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 23/17, 312/49, 913/508

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 23/17, 312/49, 913/508?

Answer: LCM of Numerators as per given numbers 23/17, 312/49, 913/508 is

LCM of Numerators i.e. for 23,312,913 is 6551688

GCF of denominators i.e. for 17,49,508 is 1.

Thus, LCM of Fractions is 6551688.Finally, LCM of Fractions for 23/17, 312/49, 913/508 is 6551688.