Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/10, 134/92, 823/848 quickly i.e. 3915011 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/10, 134/92, 823/848 is 3915011.
LCM(71/10, 134/92, 823/848) = 3915011
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/10,134/92,823/848
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 71,134,823
Least Common Multiple of Numerators i.e. LCM of 71,134,823 is 7830022.
GCF of Denominators means GCF of 10,92,848 as per the given fractions.
GCF of 10,92,848 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,134,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 7830022
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 71,134,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,134,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,134,823) x common factors =1 x 1 = 1
LCM(71,134,823) = ( 71 × 134 × 823 ) / 1
LCM(71,134,823) = 7830022 / 1
LCM(71,134,823) = 7830022
Lets's calculate GCF of 10,92,848
2 | 10, 92, 848 |
5, 46, 424 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7830022/2
Therefore the LCM of Fractions 71/10,134/92,823/848 is 3915011
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 10,92,848 . The biggest common factor number is the GCF number.
So the greatest common factor 10,92,848 is 2.
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 71/10, 134/92, 823/848?
Answer: LCM of Numerators as per given numbers 71/10, 134/92, 823/848 is
LCM of Numerators i.e. for 71,134,823 is 7830022
GCF of denominators i.e. for 10,92,848 is 2.
Thus, LCM of Fractions is 3915011.Finally, LCM of Fractions for 71/10, 134/92, 823/848 is 3915011.