Least Common Multiple of 438/30, 949/5466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/30, 949/5466 quickly i.e. 949 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/30, 949/5466 is 949.

LCM(438/30, 949/5466) = 949

LCM of 438/30, 949/5466

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 438/30,949/5466

Given numbers are 438/30,949/5466

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 438,949

Least Common Multiple of Numerators i.e. LCM of 438,949 is 5694.

GCF of Denominators means GCF of 30,5466 as per the given fractions.

GCF of 30,5466 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,949

LCM of Fractions 438/30,949/5466 is 949

73 438, 949
6, 13

∴ So the LCM of the given numbers is 73 x 6 x 13 = 5694

Least Common Multiple of 438,949 with GCF Formula

Least Common Multiple of 438,949 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 438,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,949) = 73

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

GCF(438,949) x common factors =73 x 1 = 73

LCM(438,949) = ( 438 × 949 ) / 73

LCM(438,949) = 415662 / 73

LCM(438,949) = 5694


Lets's calculate GCF of 30,5466

2 30, 5466
3 15, 2733
5, 911

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5694/6

Therefore the LCM of Fractions 438/30,949/5466 is 949

Greatest Common Factor of 30,5466 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,5466 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 5466

List of positive integer factors of 5466 that divides 5466 without a remainder.

1,2,3,6,911,1822,2733,5466

Greatest Common Factor

We found the factors 30,5466 . The biggest common factor number is the GCF number.
So the greatest common factor 30,5466 is 6.


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 438/30, 949/5466

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 438/30, 949/5466?

Answer: LCM of Numerators as per given numbers 438/30, 949/5466 is

LCM of Numerators i.e. for 438,949 is 5694

GCF of denominators i.e. for 30,5466 is 6.

Thus, LCM of Fractions is 949.Finally, LCM of Fractions for 438/30, 949/5466 is 949.