Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/90, 106/82, 767/258 quickly i.e. 1422785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/90, 106/82, 767/258 is 1422785.
LCM(70/90, 106/82, 767/258) = 1422785
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/90,106/82,767/258
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 70,106,767
Least Common Multiple of Numerators i.e. LCM of 70,106,767 is 2845570.
GCF of Denominators means GCF of 90,82,258 as per the given fractions.
GCF of 90,82,258 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,106,767
2 | 70, 106, 767 |
35, 53, 767 |
∴ So the LCM of the given numbers is 2 x 35 x 53 x 767 = 2845570
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 70,106,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,106,767) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(70,106,767) x common factors =1 x 2 = 2
LCM(70,106,767) = ( 70 × 106 × 767 ) / 2
LCM(70,106,767) = 5691140 / 2
LCM(70,106,767) = 2845570
Lets's calculate GCF of 90,82,258
2 | 90, 82, 258 |
45, 41, 129 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2845570/2
Therefore the LCM of Fractions 70/90,106/82,767/258 is 1422785
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 90,82,258 . The biggest common factor number is the GCF number.
So the greatest common factor 90,82,258 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 70/90, 106/82, 767/258?
Answer: LCM of Numerators as per given numbers 70/90, 106/82, 767/258 is
LCM of Numerators i.e. for 70,106,767 is 2845570
GCF of denominators i.e. for 90,82,258 is 2.
Thus, LCM of Fractions is 1422785.Finally, LCM of Fractions for 70/90, 106/82, 767/258 is 1422785.