LCM of 524, 238, 506, 973, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 238, 506, 973, 462 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 524, 238, 506, 973, 462. So, keep reading to learn more.
Given numbers are 524,238,506,973,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,238,506,973,462 is 6578620356.
Find LCM of 524,238,506,973,462 with Prime Factorization
| 2 | 524, 238, 506, 973, 462 |
| 7 | 262, 119, 253, 973, 231 |
| 11 | 262, 17, 253, 139, 33 |
| 262, 17, 23, 139, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 262 x 17 x 23 x 139 x 3 = 6578620356
Therefore, the lowest common multiple of 524,238,506,973,462 is 6578620356.
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.
524 x 238 x 506 x 973 x 462 = 28367010975072
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.
524 : 1, 2, 4, 131, 262, 524
238 : 1, 2, 7, 14, 17, 34, 119, 238
506 : 1, 2, 11, 22, 23, 46, 253, 506
973 : 1, 7, 139, 973
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,238,506,973,462, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
238:2x 7x 17
506:2x 11x 23
973:7x 139
462:2x 3x 7x 11
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 7x 7x 11 = 4312
Therefore, the value for common factors is 4312.
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 = 28367010975072/(1x4312)
LCM = 28367010975072/4312
LCM = 6578620356
Thus, we can understand that the LCM of 524,238,506,973,462 is 6578620356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 524, 238, 506, 973, 462
1. What is the LCM of 524, 238, 506, 973, 462?
Answer: LCM of 524, 238, 506, 973, 462 is 6578620356.
2. How to calculate the LCM of 524, 238, 506, 973, 462?
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 524, 238, 506, 973, 462.
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}.