LCM of 507, 396, 462, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 396, 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 507, 396, 462, 978. So, keep reading to learn more.
Given numbers are 507,396,462,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,396,462,978 is 76360284.
Find LCM of 507,396,462,978 with Prime Factorization
| 2 | 507, 396, 462, 978 |
| 3 | 507, 198, 231, 489 |
| 11 | 169, 66, 77, 163 |
| 169, 6, 7, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 169 x 6 x 7 x 163 = 76360284
Therefore, the lowest common multiple of 507,396,462,978 is 76360284.
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.
507 x 396 x 462 x 978 = 90716017392
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.
507 : 1, 3, 13, 39, 169, 507
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
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
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,396,462,978, is 3.
Now, the common factors can be found like this.
507:3x 13x 13
396:2x 2x 3x 3x 11
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 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 90716017392/(3x396)
LCM = 90716017392/1188
LCM = 76360284
Thus, we can understand that the LCM of 507,396,462,978 is 76360284.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 507, 396, 462, 978
1. What is the LCM of 507, 396, 462, 978?
Answer: LCM of 507, 396, 462, 978 is 76360284.
2. How to calculate the LCM of 507, 396, 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 507, 396, 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}.