Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/152, 2945/5570 quickly i.e. 114855/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/152, 2945/5570 is 114855/2.
LCM(39/152, 2945/5570) = 114855/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/152,2945/5570
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 39,2945
Least Common Multiple of Numerators i.e. LCM of 39,2945 is 114855.
GCF of Denominators means GCF of 152,5570 as per the given fractions.
GCF of 152,5570 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,2945
Given numbers has no common factors except 1. So, there LCM is their product i.e 114855
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 39,2945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,2945) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,2945) x common factors =1 x 1 = 1
LCM(39,2945) = ( 39 × 2945 ) / 1
LCM(39,2945) = 114855 / 1
LCM(39,2945) = 114855
Lets's calculate GCF of 152,5570
2 | 152, 5570 |
76, 2785 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114855/2
Therefore the LCM of Fractions 39/152,2945/5570 is 114855/2
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 5570
List of positive integer factors of 5570 that divides 5570 without a remainder.
1,2,5,10,557,1114,2785,5570
Greatest Common Factor
We found the factors 152,5570 . The biggest common factor number is the GCF number.
So the greatest common factor 152,5570 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 39/152, 2945/5570?
Answer: LCM of Numerators as per given numbers 39/152, 2945/5570 is
LCM of Numerators i.e. for 39,2945 is 114855
GCF of denominators i.e. for 152,5570 is 2.
Thus, LCM of Fractions is 114855/2.Finally, LCM of Fractions for 39/152, 2945/5570 is 114855/2.