LCM of 436, 836, 968, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 836, 968, 145 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 436, 836, 968, 145. So, keep reading to learn more.
Given numbers are 436,836,968,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,836,968,145 is 290685560.
Find LCM of 436,836,968,145 with Prime Factorization
| 2 | 436, 836, 968, 145 |
| 2 | 218, 418, 484, 145 |
| 11 | 109, 209, 242, 145 |
| 109, 19, 22, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 109 x 19 x 22 x 145 = 290685560
Therefore, the lowest common multiple of 436,836,968,145 is 290685560.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
436 x 836 x 968 x 145 = 51160658560
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
436 : 1, 2, 4, 109, 218, 436
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,836,968,145, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
836:2x 2x 11x 19
968:2x 2x 2x 11x 11
145:5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 11 = 176
Therefore, the value for common factors is 176.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 51160658560/(1x176)
LCM = 51160658560/176
LCM = 290685560
Thus, we can understand that the LCM of 436,836,968,145 is 290685560.
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FAQs on LCM of 436, 836, 968, 145
1. What is the LCM of 436, 836, 968, 145?
Answer: LCM of 436, 836, 968, 145 is 290685560.
2. How to calculate the LCM of 436, 836, 968, 145?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 436, 836, 968, 145.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.