LCM of 462, 533, 506, 205, 662
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 533, 506, 205, 662 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 462, 533, 506, 205, 662. So, keep reading to learn more.
Given numbers are 462,533,506,205,662
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,533,506,205,662 is 9373353990.
Find LCM of 462,533,506,205,662 with Prime Factorization
| 2 | 462, 533, 506, 205, 662 |
| 11 | 231, 533, 253, 205, 331 |
| 41 | 21, 533, 23, 205, 331 |
| 21, 13, 23, 5, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 21 x 13 x 23 x 5 x 331 = 9373353990
Therefore, the lowest common multiple of 462,533,506,205,662 is 9373353990.
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.
462 x 533 x 506 x 205 x 662 = 16909530597960
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
533 : 1, 13, 41, 533
506 : 1, 2, 11, 22, 23, 46, 253, 506
205 : 1, 5, 41, 205
662 : 1, 2, 331, 662
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,533,506,205,662, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
533:13x 41
506:2x 11x 23
205:5x 41
662:2x 331
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 11x 41 = 1804
Therefore, the value for common factors is 1804.
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 = 16909530597960/(1x1804)
LCM = 16909530597960/1804
LCM = 9373353990
Thus, we can understand that the LCM of 462,533,506,205,662 is 9373353990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 462, 533, 506, 205, 662
1. What is the LCM of 462, 533, 506, 205, 662?
Answer: LCM of 462, 533, 506, 205, 662 is 9373353990.
2. How to calculate the LCM of 462, 533, 506, 205, 662?
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 462, 533, 506, 205, 662.
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}.