Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/614, 1495/3810 quickly i.e. 65780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/614, 1495/3810 is 65780.
LCM(88/614, 1495/3810) = 65780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/614,1495/3810
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 88,1495
Least Common Multiple of Numerators i.e. LCM of 88,1495 is 131560.
GCF of Denominators means GCF of 614,3810 as per the given fractions.
GCF of 614,3810 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,1495
Given numbers has no common factors except 1. So, there LCM is their product i.e 131560
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 88,1495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,1495) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,1495) x common factors =1 x 1 = 1
LCM(88,1495) = ( 88 × 1495 ) / 1
LCM(88,1495) = 131560 / 1
LCM(88,1495) = 131560
Lets's calculate GCF of 614,3810
2 | 614, 3810 |
307, 1905 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131560/2
Therefore the LCM of Fractions 88/614,1495/3810 is 65780
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 3810
List of positive integer factors of 3810 that divides 3810 without a remainder.
1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810
Greatest Common Factor
We found the factors 614,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 614,3810 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 88/614, 1495/3810?
Answer: LCM of Numerators as per given numbers 88/614, 1495/3810 is
LCM of Numerators i.e. for 88,1495 is 131560
GCF of denominators i.e. for 614,3810 is 2.
Thus, LCM of Fractions is 65780.Finally, LCM of Fractions for 88/614, 1495/3810 is 65780.