Least Common Multiple of 463/73, 748/22, 508/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 463/73, 748/22, 508/319 quickly i.e. 43983148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 463/73, 748/22, 508/319 is 43983148.

LCM(463/73, 748/22, 508/319) = 43983148

LCM of 463/73, 748/22, 508/319

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 463/73,748/22,508/319

Given numbers are 463/73,748/22,508/319

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 463,748,508

Least Common Multiple of Numerators i.e. LCM of 463,748,508 is 43983148.

GCF of Denominators means GCF of 73,22,319 as per the given fractions.

GCF of 73,22,319 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 463,748,508

LCM of Fractions 463/73,748/22,508/319 is 43983148

2 463, 748, 508
2 463, 374, 254
463, 187, 127

∴ So the LCM of the given numbers is 2 x 2 x 463 x 187 x 127 = 43983148

Least Common Multiple of 463,748,508 with GCF Formula

Least Common Multiple of 463,748,508 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 463,748,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,748,508) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(463,748,508) x common factors =1 x 4 = 4

LCM(463,748,508) = ( 463 × 748 × 508 ) / 4

LCM(463,748,508) = 175932592 / 4

LCM(463,748,508) = 43983148


Lets's calculate GCF of 73,22,319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43983148/1

Therefore the LCM of Fractions 463/73,748/22,508/319 is 43983148

Greatest Common Factor of 73,22,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,22,319 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 73,22,319 . The biggest common factor number is the GCF number.
So the greatest common factor 73,22,319 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 463/73, 748/22, 508/319

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 463/73, 748/22, 508/319?

Answer: LCM of Numerators as per given numbers 463/73, 748/22, 508/319 is

LCM of Numerators i.e. for 463,748,508 is 43983148

GCF of denominators i.e. for 73,22,319 is 1.

Thus, LCM of Fractions is 43983148.Finally, LCM of Fractions for 463/73, 748/22, 508/319 is 43983148.