LCM of 307, 391, 768, 462, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 307, 391, 768, 462, 978 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 307, 391, 768, 462, 978. So, keep reading to learn more.
Given numbers are 307,391,768,462,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,391,768,462,978 is 1157056809216.
Find LCM of 307,391,768,462,978 with Prime Factorization
| 2 | 307, 391, 768, 462, 978 |
| 3 | 307, 391, 384, 231, 489 |
| 307, 391, 128, 77, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 307 x 391 x 128 x 77 x 163 = 1157056809216
Therefore, the lowest common multiple of 307,391,768,462,978 is 1157056809216.
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.
307 x 391 x 768 x 462 x 978 = 41654045131776
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.
307 : 1, 307
391 : 1, 17, 23, 391
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,391,768,462,978, is 1.
Now, the common factors can be found like this.
307:307
391:17x 23
768:2x 2x 2x 2x 2x 2x 2x 2x 3
462:2x 3x 7x 11
978:2x 3x 163
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 41654045131776/(1x36)
LCM = 41654045131776/36
LCM = 1157056809216
Thus, we can understand that the LCM of 307,391,768,462,978 is 1157056809216.
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FAQs on LCM of 307, 391, 768, 462, 978
1. What is the LCM of 307, 391, 768, 462, 978?
Answer: LCM of 307, 391, 768, 462, 978 is 1157056809216.
2. How to calculate the LCM of 307, 391, 768, 462, 978?
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 307, 391, 768, 462, 978.
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}.