LCM of 354, 864, 101, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 354, 864, 101, 720 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 354, 864, 101, 720. So, keep reading to learn more.
Given numbers are 354,864,101,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,864,101,720 is 25742880.
Find LCM of 354,864,101,720 with Prime Factorization
| 2 | 354, 864, 101, 720 |
| 2 | 177, 432, 101, 360 |
| 2 | 177, 216, 101, 180 |
| 2 | 177, 108, 101, 90 |
| 3 | 177, 54, 101, 45 |
| 3 | 59, 18, 101, 15 |
| 59, 6, 101, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 59 x 6 x 101 x 5 = 25742880
Therefore, the lowest common multiple of 354,864,101,720 is 25742880.
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.
354 x 864 x 101 x 720 = 22241848320
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.
354 : 1, 2, 3, 6, 59, 118, 177, 354
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
101 : 1, 101
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,864,101,720, is 1.
Now, the common factors can be found like this.
354:2x 3x 59
864:2x 2x 2x 2x 2x 3x 3x 3
101:101
720:2x 2x 2x 2x 3x 3x 5
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 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 22241848320/(1x864)
LCM = 22241848320/864
LCM = 25742880
Thus, we can understand that the LCM of 354,864,101,720 is 25742880.
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FAQs on LCM of 354, 864, 101, 720
1. What is the LCM of 354, 864, 101, 720?
Answer: LCM of 354, 864, 101, 720 is 25742880.
2. How to calculate the LCM of 354, 864, 101, 720?
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 354, 864, 101, 720.
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}.