LCM of 420, 639, 574, 648, 620
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 639, 574, 648, 620 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 420, 639, 574, 648, 620. So, keep reading to learn more.
Given numbers are 420,639,574,648,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,639,574,648,620 is 2046665880.
Find LCM of 420,639,574,648,620 with Prime Factorization
| 2 | 420, 639, 574, 648, 620 |
| 2 | 210, 639, 287, 324, 310 |
| 3 | 105, 639, 287, 162, 155 |
| 3 | 35, 213, 287, 54, 155 |
| 5 | 35, 71, 287, 18, 155 |
| 7 | 7, 71, 287, 18, 31 |
| 1, 71, 41, 18, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 1 x 71 x 41 x 18 x 31 = 2046665880
Therefore, the lowest common multiple of 420,639,574,648,620 is 2046665880.
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.
420 x 639 x 574 x 648 x 620 = 61891176211200
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.
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
639 : 1, 3, 9, 71, 213, 639
574 : 1, 2, 7, 14, 41, 82, 287, 574
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,639,574,648,620, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
639:3x 3x 71
574:2x 7x 41
648:2x 2x 2x 3x 3x 3x 3
620:2x 2x 5x 31
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 2x 2x 3x 3x 3x 5x 7 = 30240
Therefore, the value for common factors is 30240.
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 = 61891176211200/(1x30240)
LCM = 61891176211200/30240
LCM = 2046665880
Thus, we can understand that the LCM of 420,639,574,648,620 is 2046665880.
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FAQs on LCM of 420, 639, 574, 648, 620
1. What is the LCM of 420, 639, 574, 648, 620?
Answer: LCM of 420, 639, 574, 648, 620 is 2046665880.
2. How to calculate the LCM of 420, 639, 574, 648, 620?
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 420, 639, 574, 648, 620.
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}.