Least Common Multiple of 11/46, 143/48, 438/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/46, 143/48, 438/646 quickly i.e. 31317 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/46, 143/48, 438/646 is 31317.

LCM(11/46, 143/48, 438/646) = 31317

LCM of 11/46, 143/48, 438/646

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 11/46,143/48,438/646

Given numbers are 11/46,143/48,438/646

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 11,143,438

Least Common Multiple of Numerators i.e. LCM of 11,143,438 is 62634.

GCF of Denominators means GCF of 46,48,646 as per the given fractions.

GCF of 46,48,646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,143,438

LCM of Fractions 11/46,143/48,438/646 is 31317

11 11, 143, 438
1, 13, 438

∴ So the LCM of the given numbers is 11 x 1 x 13 x 438 = 62634

Least Common Multiple of 11,143,438 with GCF Formula

Least Common Multiple of 11,143,438 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 11,143,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,143,438) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(11,143,438) x common factors =1 x 11 = 11

LCM(11,143,438) = ( 11 × 143 × 438 ) / 11

LCM(11,143,438) = 688974 / 11

LCM(11,143,438) = 62634


Lets's calculate GCF of 46,48,646

2 46, 48, 646
23, 24, 323

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62634/2

Therefore the LCM of Fractions 11/46,143/48,438/646 is 31317

Greatest Common Factor of 46,48,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,48,646 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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 46,48,646 . The biggest common factor number is the GCF number.
So the greatest common factor 46,48,646 is 2.


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 11/46, 143/48, 438/646

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 11/46, 143/48, 438/646?

Answer: LCM of Numerators as per given numbers 11/46, 143/48, 438/646 is

LCM of Numerators i.e. for 11,143,438 is 62634

GCF of denominators i.e. for 46,48,646 is 2.

Thus, LCM of Fractions is 31317.Finally, LCM of Fractions for 11/46, 143/48, 438/646 is 31317.