Least Common Multiple of 13/99, 112/67, 674/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/99, 112/67, 674/350 quickly i.e. 490672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/99, 112/67, 674/350 is 490672.

LCM(13/99, 112/67, 674/350) = 490672

LCM of 13/99, 112/67, 674/350

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 13/99,112/67,674/350

Given numbers are 13/99,112/67,674/350

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 13,112,674

Least Common Multiple of Numerators i.e. LCM of 13,112,674 is 490672.

GCF of Denominators means GCF of 99,67,350 as per the given fractions.

GCF of 99,67,350 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,112,674

LCM of Fractions 13/99,112/67,674/350 is 490672

2 13, 112, 674
13, 56, 337

∴ So the LCM of the given numbers is 2 x 13 x 56 x 337 = 490672

Least Common Multiple of 13,112,674 with GCF Formula

Least Common Multiple of 13,112,674 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 13,112,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,112,674) = 1

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

GCF(13,112,674) x common factors =1 x 2 = 2

LCM(13,112,674) = ( 13 × 112 × 674 ) / 2

LCM(13,112,674) = 981344 / 2

LCM(13,112,674) = 490672


Lets's calculate GCF of 99,67,350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 490672/1

Therefore the LCM of Fractions 13/99,112/67,674/350 is 490672

Greatest Common Factor of 99,67,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,67,350 By Matching Biggest Common Factor Method

Factors of 99

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

1,3,9,11,33,99

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 99,67,350 . The biggest common factor number is the GCF number.
So the greatest common factor 99,67,350 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 13/99, 112/67, 674/350

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 13/99, 112/67, 674/350?

Answer: LCM of Numerators as per given numbers 13/99, 112/67, 674/350 is

LCM of Numerators i.e. for 13,112,674 is 490672

GCF of denominators i.e. for 99,67,350 is 1.

Thus, LCM of Fractions is 490672.Finally, LCM of Fractions for 13/99, 112/67, 674/350 is 490672.