Least Common Multiple of 30/46, 49/323, 929/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/46, 49/323, 929/163 quickly i.e. 1365630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/46, 49/323, 929/163 is 1365630.

LCM(30/46, 49/323, 929/163) = 1365630

LCM of 30/46, 49/323, 929/163

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 30/46,49/323,929/163

Given numbers are 30/46,49/323,929/163

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 30,49,929

Least Common Multiple of Numerators i.e. LCM of 30,49,929 is 1365630.

GCF of Denominators means GCF of 46,323,163 as per the given fractions.

GCF of 46,323,163 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,49,929

LCM of Fractions 30/46,49/323,929/163 is 1365630

Given numbers has no common factors except 1. So, there LCM is their product i.e 1365630

Least Common Multiple of 30,49,929 with GCF Formula

Least Common Multiple of 30,49,929 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 30,49,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,49,929) = 1

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

GCF(30,49,929) x common factors =1 x 1 = 1

LCM(30,49,929) = ( 30 × 49 × 929 ) / 1

LCM(30,49,929) = 1365630 / 1

LCM(30,49,929) = 1365630


Lets's calculate GCF of 46,323,163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1365630/1

Therefore the LCM of Fractions 30/46,49/323,929/163 is 1365630

Greatest Common Factor of 46,323,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,323,163 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 46,323,163 . The biggest common factor number is the GCF number.
So the greatest common factor 46,323,163 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 30/46, 49/323, 929/163

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 30/46, 49/323, 929/163?

Answer: LCM of Numerators as per given numbers 30/46, 49/323, 929/163 is

LCM of Numerators i.e. for 30,49,929 is 1365630

GCF of denominators i.e. for 46,323,163 is 1.

Thus, LCM of Fractions is 1365630.Finally, LCM of Fractions for 30/46, 49/323, 929/163 is 1365630.