Least Common Multiple of 38/44, 13/24, 49/20, 69/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/44, 13/24, 49/20, 69/674 quickly i.e. 835107 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/44, 13/24, 49/20, 69/674 is 835107.

LCM(38/44, 13/24, 49/20, 69/674) = 835107

LCM of 38/44, 13/24, 49/20, 69/674

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 38/44,13/24,49/20,69/674

Given numbers are 38/44,13/24,49/20,69/674

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 38,13,49,69

Least Common Multiple of Numerators i.e. LCM of 38,13,49,69 is 1670214.

GCF of Denominators means GCF of 44,24,20,674 as per the given fractions.

GCF of 44,24,20,674 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,13,49,69

LCM of Fractions 38/44,13/24,49/20,69/674 is 835107

Given numbers has no common factors except 1. So, there LCM is their product i.e 1670214

Least Common Multiple of 38,13,49,69 with GCF Formula

Least Common Multiple of 38,13,49,69 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 38,13,49,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,13,49,69) = 1

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

GCF(38,13,49,69) x common factors =1 x 1 = 1

LCM(38,13,49,69) = ( 38 × 13 × 49 × 69 ) / 1

LCM(38,13,49,69) = 1670214 / 1

LCM(38,13,49,69) = 1670214


Lets's calculate GCF of 44,24,20,674

2 44, 24, 20, 674
22, 12, 10, 337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1670214/2

Therefore the LCM of Fractions 38/44,13/24,49/20,69/674 is 835107

Greatest Common Factor of 44,24,20,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,24,20,674 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

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

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 44,24,20,674 . The biggest common factor number is the GCF number.
So the greatest common factor 44,24,20,674 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 38/44, 13/24, 49/20, 69/674

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 38/44, 13/24, 49/20, 69/674?

Answer: LCM of Numerators as per given numbers 38/44, 13/24, 49/20, 69/674 is

LCM of Numerators i.e. for 38,13,49,69 is 1670214

GCF of denominators i.e. for 44,24,20,674 is 2.

Thus, LCM of Fractions is 835107.Finally, LCM of Fractions for 38/44, 13/24, 49/20, 69/674 is 835107.