LCM of 768, 474, 848, 886, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 474, 848, 886, 576 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 768, 474, 848, 886, 576. So, keep reading to learn more.
Given numbers are 768,474,848,886,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,474,848,886,576 is 4273553664.
Find LCM of 768,474,848,886,576 with Prime Factorization
| 2 | 768, 474, 848, 886, 576 |
| 2 | 384, 237, 424, 443, 288 |
| 2 | 192, 237, 212, 443, 144 |
| 2 | 96, 237, 106, 443, 72 |
| 2 | 48, 237, 53, 443, 36 |
| 2 | 24, 237, 53, 443, 18 |
| 3 | 12, 237, 53, 443, 9 |
| 4, 79, 53, 443, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 4 x 79 x 53 x 443 x 3 = 4273553664
Therefore, the lowest common multiple of 768,474,848,886,576 is 4273553664.
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.
768 x 474 x 848 x 886 x 576 = 157540282269696
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
474 : 1, 2, 3, 6, 79, 158, 237, 474
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
886 : 1, 2, 443, 886
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,474,848,886,576, is 2.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
474:2x 3x 79
848:2x 2x 2x 2x 53
886:2x 443
576:2x 2x 2x 2x 2x 2x 3x 3
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 2x 2x 2x 2x 2x 2x 3x 3 = 18432
Therefore, the value for common factors is 18432.
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 = 157540282269696/(2x18432)
LCM = 157540282269696/36864
LCM = 4273553664
Thus, we can understand that the LCM of 768,474,848,886,576 is 4273553664.
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FAQs on LCM of 768, 474, 848, 886, 576
1. What is the LCM of 768, 474, 848, 886, 576?
Answer: LCM of 768, 474, 848, 886, 576 is 4273553664.
2. How to calculate the LCM of 768, 474, 848, 886, 576?
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 768, 474, 848, 886, 576.
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}.