LCM of 645, 220, 501, 506, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 220, 501, 506, 612 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 645, 220, 501, 506, 612. So, keep reading to learn more.
Given numbers are 645,220,501,506,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,220,501,506,612 is 5559386580.
Find LCM of 645,220,501,506,612 with Prime Factorization
| 2 | 645, 220, 501, 506, 612 |
| 2 | 645, 110, 501, 253, 306 |
| 3 | 645, 55, 501, 253, 153 |
| 5 | 215, 55, 167, 253, 51 |
| 11 | 43, 11, 167, 253, 51 |
| 43, 1, 167, 23, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 43 x 1 x 167 x 23 x 51 = 5559386580
Therefore, the lowest common multiple of 645,220,501,506,612 is 5559386580.
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.
645 x 220 x 501 x 506 x 612 = 22015170856800
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
501 : 1, 3, 167, 501
506 : 1, 2, 11, 22, 23, 46, 253, 506
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,220,501,506,612, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
220:2x 2x 5x 11
501:3x 167
506:2x 11x 23
612:2x 2x 3x 3x 17
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 3x 3x 5x 11 = 3960
Therefore, the value for common factors is 3960.
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 = 22015170856800/(1x3960)
LCM = 22015170856800/3960
LCM = 5559386580
Thus, we can understand that the LCM of 645,220,501,506,612 is 5559386580.
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FAQs on LCM of 645, 220, 501, 506, 612
1. What is the LCM of 645, 220, 501, 506, 612?
Answer: LCM of 645, 220, 501, 506, 612 is 5559386580.
2. How to calculate the LCM of 645, 220, 501, 506, 612?
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 645, 220, 501, 506, 612.
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}.