Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/907, 3934/2600 quickly i.e. 23604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/907, 3934/2600 is 23604.
LCM(84/907, 3934/2600) = 23604
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/907,3934/2600
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 84,3934
Least Common Multiple of Numerators i.e. LCM of 84,3934 is 23604.
GCF of Denominators means GCF of 907,2600 as per the given fractions.
GCF of 907,2600 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,3934
2 | 84, 3934 |
7 | 42, 1967 |
6, 281 |
∴ So the LCM of the given numbers is 2 x 7 x 6 x 281 = 23604
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 84,3934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,3934) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(84,3934) x common factors =14 x 1 = 14
LCM(84,3934) = ( 84 × 3934 ) / 14
LCM(84,3934) = 330456 / 14
LCM(84,3934) = 23604
Lets's calculate GCF of 907,2600
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23604/1
Therefore the LCM of Fractions 84/907,3934/2600 is 23604
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Factors of 2600
List of positive integer factors of 2600 that divides 2600 without a remainder.
1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600
Greatest Common Factor
We found the factors 907,2600 . The biggest common factor number is the GCF number.
So the greatest common factor 907,2600 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 84/907, 3934/2600?
Answer: LCM of Numerators as per given numbers 84/907, 3934/2600 is
LCM of Numerators i.e. for 84,3934 is 23604
GCF of denominators i.e. for 907,2600 is 1.
Thus, LCM of Fractions is 23604.Finally, LCM of Fractions for 84/907, 3934/2600 is 23604.