Least Common Multiple of 13/43, 51/99, 97/70, 21/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/43, 51/99, 97/70, 21/849 quickly i.e. 450177 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/43, 51/99, 97/70, 21/849 is 450177.

LCM(13/43, 51/99, 97/70, 21/849) = 450177

LCM of 13/43, 51/99, 97/70, 21/849

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 13/43,51/99,97/70,21/849

Given numbers are 13/43,51/99,97/70,21/849

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 13,51,97,21

Least Common Multiple of Numerators i.e. LCM of 13,51,97,21 is 450177.

GCF of Denominators means GCF of 43,99,70,849 as per the given fractions.

GCF of 43,99,70,849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,51,97,21

LCM of Fractions 13/43,51/99,97/70,21/849 is 450177

3 13, 51, 97, 21
13, 17, 97, 7

∴ So the LCM of the given numbers is 3 x 13 x 17 x 97 x 7 = 450177

Least Common Multiple of 13,51,97,21 with GCF Formula

Least Common Multiple of 13,51,97,21 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 13,51,97,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,51,97,21) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(13,51,97,21) x common factors =1 x 3 = 3

LCM(13,51,97,21) = ( 13 × 51 × 97 × 21 ) / 3

LCM(13,51,97,21) = 1350531 / 3

LCM(13,51,97,21) = 450177


Lets's calculate GCF of 43,99,70,849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450177/1

Therefore the LCM of Fractions 13/43,51/99,97/70,21/849 is 450177

Greatest Common Factor of 43,99,70,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,99,70,849 By Matching Biggest Common Factor Method

Factors of 43

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

1,43

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 43,99,70,849 . The biggest common factor number is the GCF number.
So the greatest common factor 43,99,70,849 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 13/43, 51/99, 97/70, 21/849

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 13/43, 51/99, 97/70, 21/849?

Answer: LCM of Numerators as per given numbers 13/43, 51/99, 97/70, 21/849 is

LCM of Numerators i.e. for 13,51,97,21 is 450177

GCF of denominators i.e. for 43,99,70,849 is 1.

Thus, LCM of Fractions is 450177.Finally, LCM of Fractions for 13/43, 51/99, 97/70, 21/849 is 450177.