Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/366, 4764/7660 quickly i.e. 45258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/366, 4764/7660 is 45258.
LCM(76/366, 4764/7660) = 45258
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/366,4764/7660
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 76,4764
Least Common Multiple of Numerators i.e. LCM of 76,4764 is 90516.
GCF of Denominators means GCF of 366,7660 as per the given fractions.
GCF of 366,7660 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,4764
2 | 76, 4764 |
2 | 38, 2382 |
19, 1191 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 1191 = 90516
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 76,4764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,4764) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(76,4764) x common factors =4 x 1 = 4
LCM(76,4764) = ( 76 × 4764 ) / 4
LCM(76,4764) = 362064 / 4
LCM(76,4764) = 90516
Lets's calculate GCF of 366,7660
2 | 366, 7660 |
183, 3830 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90516/2
Therefore the LCM of Fractions 76/366,4764/7660 is 45258
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 7660
List of positive integer factors of 7660 that divides 7660 without a remainder.
1,2,4,5,10,20,383,766,1532,1915,3830,7660
Greatest Common Factor
We found the factors 366,7660 . The biggest common factor number is the GCF number.
So the greatest common factor 366,7660 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 76/366, 4764/7660?
Answer: LCM of Numerators as per given numbers 76/366, 4764/7660 is
LCM of Numerators i.e. for 76,4764 is 90516
GCF of denominators i.e. for 366,7660 is 2.
Thus, LCM of Fractions is 45258.Finally, LCM of Fractions for 76/366, 4764/7660 is 45258.