Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/84, 465/56, 766/933 quickly i.e. 356190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/84, 465/56, 766/933 is 356190.
LCM(10/84, 465/56, 766/933) = 356190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/84,465/56,766/933
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 10,465,766
Least Common Multiple of Numerators i.e. LCM of 10,465,766 is 356190.
GCF of Denominators means GCF of 84,56,933 as per the given fractions.
GCF of 84,56,933 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,465,766
2 | 10, 465, 766 |
5 | 5, 465, 383 |
1, 93, 383 |
∴ So the LCM of the given numbers is 2 x 5 x 1 x 93 x 383 = 356190
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 10,465,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,465,766) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(10,465,766) x common factors =1 x 10 = 10
LCM(10,465,766) = ( 10 × 465 × 766 ) / 10
LCM(10,465,766) = 3561900 / 10
LCM(10,465,766) = 356190
Lets's calculate GCF of 84,56,933
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356190/1
Therefore the LCM of Fractions 10/84,465/56,766/933 is 356190
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Greatest Common Factor
We found the factors 84,56,933 . The biggest common factor number is the GCF number.
So the greatest common factor 84,56,933 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 10/84, 465/56, 766/933?
Answer: LCM of Numerators as per given numbers 10/84, 465/56, 766/933 is
LCM of Numerators i.e. for 10,465,766 is 356190
GCF of denominators i.e. for 84,56,933 is 1.
Thus, LCM of Fractions is 356190.Finally, LCM of Fractions for 10/84, 465/56, 766/933 is 356190.