Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3070/792, 7703/154 quickly i.e. 23648210/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3070/792, 7703/154 is 23648210/22.
LCM(3070/792, 7703/154) = 23648210/22
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3070/792,7703/154
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 3070,7703
Least Common Multiple of Numerators i.e. LCM of 3070,7703 is 23648210.
GCF of Denominators means GCF of 792,154 as per the given fractions.
GCF of 792,154 is 22 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3070,7703
Given numbers has no common factors except 1. So, there LCM is their product i.e 23648210
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 3070,7703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3070,7703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3070,7703) x common factors =1 x 1 = 1
LCM(3070,7703) = ( 3070 × 7703 ) / 1
LCM(3070,7703) = 23648210 / 1
LCM(3070,7703) = 23648210
Lets's calculate GCF of 792,154
2 | 792, 154 |
11 | 396, 77 |
36, 7 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23648210/22
Therefore the LCM of Fractions 3070/792,7703/154 is 23648210/22
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 792,154 . The biggest common factor number is the GCF number.
So the greatest common factor 792,154 is 22.
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 3070/792, 7703/154?
Answer: LCM of Numerators as per given numbers 3070/792, 7703/154 is
LCM of Numerators i.e. for 3070,7703 is 23648210
GCF of denominators i.e. for 792,154 is 22.
Thus, LCM of Fractions is 23648210/22.Finally, LCM of Fractions for 3070/792, 7703/154 is 23648210/22.