Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/824, 80/112, 200/391 quickly i.e. 9200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/824, 80/112, 200/391 is 9200.
LCM(46/824, 80/112, 200/391) = 9200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/824,80/112,200/391
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 46,80,200
Least Common Multiple of Numerators i.e. LCM of 46,80,200 is 9200.
GCF of Denominators means GCF of 824,112,391 as per the given fractions.
GCF of 824,112,391 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,80,200
2 | 46, 80, 200 |
2 | 23, 40, 100 |
2 | 23, 20, 50 |
5 | 23, 10, 25 |
23, 2, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 23 x 2 x 5 = 9200
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 46,80,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,80,200) = 2
common factors(in case of two or more numbers have common factors) = 40
GCF(46,80,200) x common factors =2 x 40 = 80
LCM(46,80,200) = ( 46 × 80 × 200 ) / 80
LCM(46,80,200) = 736000 / 80
LCM(46,80,200) = 9200
Lets's calculate GCF of 824,112,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9200/1
Therefore the LCM of Fractions 46/824,80/112,200/391 is 9200
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 824,112,391 . The biggest common factor number is the GCF number.
So the greatest common factor 824,112,391 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 46/824, 80/112, 200/391?
Answer: LCM of Numerators as per given numbers 46/824, 80/112, 200/391 is
LCM of Numerators i.e. for 46,80,200 is 9200
GCF of denominators i.e. for 824,112,391 is 1.
Thus, LCM of Fractions is 9200.Finally, LCM of Fractions for 46/824, 80/112, 200/391 is 9200.