Least Common Multiple of 144/11, 362/49, 674/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/11, 362/49, 674/21 quickly i.e. 8783568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/11, 362/49, 674/21 is 8783568.

LCM(144/11, 362/49, 674/21) = 8783568

LCM of 144/11, 362/49, 674/21

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 144/11,362/49,674/21

Given numbers are 144/11,362/49,674/21

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 144,362,674

Least Common Multiple of Numerators i.e. LCM of 144,362,674 is 8783568.

GCF of Denominators means GCF of 11,49,21 as per the given fractions.

GCF of 11,49,21 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,362,674

LCM of Fractions 144/11,362/49,674/21 is 8783568

2 144, 362, 674
72, 181, 337

∴ So the LCM of the given numbers is 2 x 72 x 181 x 337 = 8783568

Least Common Multiple of 144,362,674 with GCF Formula

Least Common Multiple of 144,362,674 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 144,362,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,362,674) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(144,362,674) x common factors =2 x 2 = 4

LCM(144,362,674) = ( 144 × 362 × 674 ) / 4

LCM(144,362,674) = 35134272 / 4

LCM(144,362,674) = 8783568


Lets's calculate GCF of 11,49,21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8783568/1

Therefore the LCM of Fractions 144/11,362/49,674/21 is 8783568

Greatest Common Factor of 11,49,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,49,21 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 49

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

1,7,49

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 11,49,21 . The biggest common factor number is the GCF number.
So the greatest common factor 11,49,21 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 144/11, 362/49, 674/21

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 144/11, 362/49, 674/21?

Answer: LCM of Numerators as per given numbers 144/11, 362/49, 674/21 is

LCM of Numerators i.e. for 144,362,674 is 8783568

GCF of denominators i.e. for 11,49,21 is 1.

Thus, LCM of Fractions is 8783568.Finally, LCM of Fractions for 144/11, 362/49, 674/21 is 8783568.