Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 837/675, 3931/420 quickly i.e. 3290247/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 837/675, 3931/420 is 3290247/15.
LCM(837/675, 3931/420) = 3290247/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 837/675,3931/420
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 837,3931
Least Common Multiple of Numerators i.e. LCM of 837,3931 is 3290247.
GCF of Denominators means GCF of 675,420 as per the given fractions.
GCF of 675,420 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 837,3931
Given numbers has no common factors except 1. So, there LCM is their product i.e 3290247
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 837,3931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,3931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,3931) x common factors =1 x 1 = 1
LCM(837,3931) = ( 837 × 3931 ) / 1
LCM(837,3931) = 3290247 / 1
LCM(837,3931) = 3290247
Lets's calculate GCF of 675,420
3 | 675, 420 |
5 | 225, 140 |
45, 28 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3290247/15
Therefore the LCM of Fractions 837/675,3931/420 is 3290247/15
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 675,420 . The biggest common factor number is the GCF number.
So the greatest common factor 675,420 is 15.
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 837/675, 3931/420?
Answer: LCM of Numerators as per given numbers 837/675, 3931/420 is
LCM of Numerators i.e. for 837,3931 is 3290247
GCF of denominators i.e. for 675,420 is 15.
Thus, LCM of Fractions is 3290247/15.Finally, LCM of Fractions for 837/675, 3931/420 is 3290247/15.