Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 118/70, 118/3622 quickly i.e. 59 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 118/70, 118/3622 is 59.
LCM(118/70, 118/3622) = 59
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 118/70,118/3622
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 118,118
Least Common Multiple of Numerators i.e. LCM of 118,118 is 118.
GCF of Denominators means GCF of 70,3622 as per the given fractions.
GCF of 70,3622 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 118,118
2 | 118, 118 |
59 | 59, 59 |
1, 1 |
∴ So the LCM of the given numbers is 2 x 59 x 1 x 1 = 118
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 118,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,118) = 118
common factors(in case of two or more numbers have common factors) = 1
GCF(118,118) x common factors =118 x 1 = 118
LCM(118,118) = ( 118 × 118 ) / 118
LCM(118,118) = 13924 / 118
LCM(118,118) = 118
Lets's calculate GCF of 70,3622
2 | 70, 3622 |
35, 1811 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118/2
Therefore the LCM of Fractions 118/70,118/3622 is 59
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 3622
List of positive integer factors of 3622 that divides 3622 without a remainder.
1,2,1811,3622
Greatest Common Factor
We found the factors 70,3622 . The biggest common factor number is the GCF number.
So the greatest common factor 70,3622 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 118/70, 118/3622?
Answer: LCM of Numerators as per given numbers 118/70, 118/3622 is
LCM of Numerators i.e. for 118,118 is 118
GCF of denominators i.e. for 70,3622 is 2.
Thus, LCM of Fractions is 59.Finally, LCM of Fractions for 118/70, 118/3622 is 59.