Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/391, 358/51, 767/400 quickly i.e. 1922102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/391, 358/51, 767/400 is 1922102.
LCM(14/391, 358/51, 767/400) = 1922102
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/391,358/51,767/400
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 14,358,767
Least Common Multiple of Numerators i.e. LCM of 14,358,767 is 1922102.
GCF of Denominators means GCF of 391,51,400 as per the given fractions.
GCF of 391,51,400 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,358,767
2 | 14, 358, 767 |
7, 179, 767 |
∴ So the LCM of the given numbers is 2 x 7 x 179 x 767 = 1922102
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 14,358,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,358,767) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(14,358,767) x common factors =1 x 2 = 2
LCM(14,358,767) = ( 14 × 358 × 767 ) / 2
LCM(14,358,767) = 3844204 / 2
LCM(14,358,767) = 1922102
Lets's calculate GCF of 391,51,400
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1922102/1
Therefore the LCM of Fractions 14/391,358/51,767/400 is 1922102
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 391,51,400 . The biggest common factor number is the GCF number.
So the greatest common factor 391,51,400 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 14/391, 358/51, 767/400?
Answer: LCM of Numerators as per given numbers 14/391, 358/51, 767/400 is
LCM of Numerators i.e. for 14,358,767 is 1922102
GCF of denominators i.e. for 391,51,400 is 1.
Thus, LCM of Fractions is 1922102.Finally, LCM of Fractions for 14/391, 358/51, 767/400 is 1922102.