Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/407, 14/786, 338/674 quickly i.e. 205842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/407, 14/786, 338/674 is 205842.
LCM(87/407, 14/786, 338/674) = 205842
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/407,14/786,338/674
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 87,14,338
Least Common Multiple of Numerators i.e. LCM of 87,14,338 is 205842.
GCF of Denominators means GCF of 407,786,674 as per the given fractions.
GCF of 407,786,674 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,14,338
2 | 87, 14, 338 |
87, 7, 169 |
∴ So the LCM of the given numbers is 2 x 87 x 7 x 169 = 205842
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 87,14,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,14,338) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(87,14,338) x common factors =1 x 2 = 2
LCM(87,14,338) = ( 87 × 14 × 338 ) / 2
LCM(87,14,338) = 411684 / 2
LCM(87,14,338) = 205842
Lets's calculate GCF of 407,786,674
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205842/1
Therefore the LCM of Fractions 87/407,14/786,338/674 is 205842
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Greatest Common Factor
We found the factors 407,786,674 . The biggest common factor number is the GCF number.
So the greatest common factor 407,786,674 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 87/407, 14/786, 338/674?
Answer: LCM of Numerators as per given numbers 87/407, 14/786, 338/674 is
LCM of Numerators i.e. for 87,14,338 is 205842
GCF of denominators i.e. for 407,786,674 is 1.
Thus, LCM of Fractions is 205842.Finally, LCM of Fractions for 87/407, 14/786, 338/674 is 205842.