LCM of 100, 506, 969, 384, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 100, 506, 969, 384, 969 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 100, 506, 969, 384, 969. So, keep reading to learn more.
Given numbers are 100,506,969,384,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 100,506,969,384,969 is 784502400.
Find LCM of 100,506,969,384,969 with Prime Factorization
| 2 | 100, 506, 969, 384, 969 |
| 2 | 50, 253, 969, 192, 969 |
| 3 | 25, 253, 969, 96, 969 |
| 17 | 25, 253, 323, 32, 323 |
| 19 | 25, 253, 19, 32, 19 |
| 25, 253, 1, 32, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 19 x 25 x 253 x 1 x 32 x 1 = 784502400
Therefore, the lowest common multiple of 100,506,969,384,969 is 784502400.
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.
100 x 506 x 969 x 384 x 969 = 18244387814400
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.
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
506 : 1, 2, 11, 22, 23, 46, 253, 506
969 : 1, 3, 17, 19, 51, 57, 323, 969
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,506,969,384,969, is 1.
Now, the common factors can be found like this.
100:2x 2x 5x 5
506:2x 11x 23
969:3x 17x 19
384:2x 2x 2x 2x 2x 2x 2x 3
969:3x 17x 19
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 3x 3x 17x 19 = 23256
Therefore, the value for common factors is 23256.
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 = 18244387814400/(1x23256)
LCM = 18244387814400/23256
LCM = 784502400
Thus, we can understand that the LCM of 100,506,969,384,969 is 784502400.
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FAQs on LCM of 100, 506, 969, 384, 969
1. What is the LCM of 100, 506, 969, 384, 969?
Answer: LCM of 100, 506, 969, 384, 969 is 784502400.
2. How to calculate the LCM of 100, 506, 969, 384, 969?
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 100, 506, 969, 384, 969.
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}.