Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 616/390, 484/911, 490/336 quickly i.e. 237160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 616/390, 484/911, 490/336 is 237160.
LCM(616/390, 484/911, 490/336) = 237160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 616/390,484/911,490/336
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 616,484,490
Least Common Multiple of Numerators i.e. LCM of 616,484,490 is 237160.
GCF of Denominators means GCF of 390,911,336 as per the given fractions.
GCF of 390,911,336 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 616,484,490
2 | 616, 484, 490 |
2 | 308, 242, 245 |
7 | 154, 121, 245 |
11 | 22, 121, 35 |
2, 11, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 2 x 11 x 35 = 237160
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 616,484,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,484,490) = 2
common factors(in case of two or more numbers have common factors) = 308
GCF(616,484,490) x common factors =2 x 308 = 616
LCM(616,484,490) = ( 616 × 484 × 490 ) / 616
LCM(616,484,490) = 146090560 / 616
LCM(616,484,490) = 237160
Lets's calculate GCF of 390,911,336
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237160/1
Therefore the LCM of Fractions 616/390,484/911,490/336 is 237160
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 390,911,336 . The biggest common factor number is the GCF number.
So the greatest common factor 390,911,336 is 1.
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 616/390, 484/911, 490/336?
Answer: LCM of Numerators as per given numbers 616/390, 484/911, 490/336 is
LCM of Numerators i.e. for 616,484,490 is 237160
GCF of denominators i.e. for 390,911,336 is 1.
Thus, LCM of Fractions is 237160.Finally, LCM of Fractions for 616/390, 484/911, 490/336 is 237160.