Least Common Multiple of 13/44, 23/43, 30/98, 34/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/44, 23/43, 30/98, 34/427 quickly i.e. 152490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/44, 23/43, 30/98, 34/427 is 152490.

LCM(13/44, 23/43, 30/98, 34/427) = 152490

LCM of 13/44, 23/43, 30/98, 34/427

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 13/44,23/43,30/98,34/427

Given numbers are 13/44,23/43,30/98,34/427

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 13,23,30,34

Least Common Multiple of Numerators i.e. LCM of 13,23,30,34 is 152490.

GCF of Denominators means GCF of 44,43,98,427 as per the given fractions.

GCF of 44,43,98,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,23,30,34

LCM of Fractions 13/44,23/43,30/98,34/427 is 152490

2 13, 23, 30, 34
13, 23, 15, 17

∴ So the LCM of the given numbers is 2 x 13 x 23 x 15 x 17 = 152490

Least Common Multiple of 13,23,30,34 with GCF Formula

Least Common Multiple of 13,23,30,34 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 13,23,30,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,23,30,34) = 1

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

GCF(13,23,30,34) x common factors =1 x 2 = 2

LCM(13,23,30,34) = ( 13 × 23 × 30 × 34 ) / 2

LCM(13,23,30,34) = 304980 / 2

LCM(13,23,30,34) = 152490


Lets's calculate GCF of 44,43,98,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152490/1

Therefore the LCM of Fractions 13/44,23/43,30/98,34/427 is 152490

Greatest Common Factor of 44,43,98,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,43,98,427 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 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 44,43,98,427 . The biggest common factor number is the GCF number.
So the greatest common factor 44,43,98,427 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 13/44, 23/43, 30/98, 34/427

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 13/44, 23/43, 30/98, 34/427?

Answer: LCM of Numerators as per given numbers 13/44, 23/43, 30/98, 34/427 is

LCM of Numerators i.e. for 13,23,30,34 is 152490

GCF of denominators i.e. for 44,43,98,427 is 1.

Thus, LCM of Fractions is 152490.Finally, LCM of Fractions for 13/44, 23/43, 30/98, 34/427 is 152490.