Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/778, 17/845, 371/866 quickly i.e. 63070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/778, 17/845, 371/866 is 63070.
LCM(70/778, 17/845, 371/866) = 63070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/778,17/845,371/866
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 70,17,371
Least Common Multiple of Numerators i.e. LCM of 70,17,371 is 63070.
GCF of Denominators means GCF of 778,845,866 as per the given fractions.
GCF of 778,845,866 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,17,371
7 | 70, 17, 371 |
10, 17, 53 |
∴ So the LCM of the given numbers is 7 x 10 x 17 x 53 = 63070
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 70,17,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,17,371) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(70,17,371) x common factors =1 x 7 = 7
LCM(70,17,371) = ( 70 × 17 × 371 ) / 7
LCM(70,17,371) = 441490 / 7
LCM(70,17,371) = 63070
Lets's calculate GCF of 778,845,866
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63070/1
Therefore the LCM of Fractions 70/778,17/845,371/866 is 63070
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Greatest Common Factor
We found the factors 778,845,866 . The biggest common factor number is the GCF number.
So the greatest common factor 778,845,866 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 70/778, 17/845, 371/866?
Answer: LCM of Numerators as per given numbers 70/778, 17/845, 371/866 is
LCM of Numerators i.e. for 70,17,371 is 63070
GCF of denominators i.e. for 778,845,866 is 1.
Thus, LCM of Fractions is 63070.Finally, LCM of Fractions for 70/778, 17/845, 371/866 is 63070.