LCM of 470, 617, 390, 924, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 617, 390, 924, 962 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 470, 617, 390, 924, 962. So, keep reading to learn more.
Given numbers are 470,617,390,924,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,617,390,924,962 is 64442157780.
Find LCM of 470,617,390,924,962 with Prime Factorization
| 2 | 470, 617, 390, 924, 962 |
| 3 | 235, 617, 195, 462, 481 |
| 5 | 235, 617, 65, 154, 481 |
| 13 | 47, 617, 13, 154, 481 |
| 47, 617, 1, 154, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 47 x 617 x 1 x 154 x 37 = 64442157780
Therefore, the lowest common multiple of 470,617,390,924,962 is 64442157780.
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.
470 x 617 x 390 x 924 x 962 = 100529766136800
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
617 : 1, 617
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,617,390,924,962, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
617:617
390:2x 3x 5x 13
924:2x 2x 3x 7x 11
962:2x 13x 37
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 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 100529766136800/(1x1560)
LCM = 100529766136800/1560
LCM = 64442157780
Thus, we can understand that the LCM of 470,617,390,924,962 is 64442157780.
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FAQs on LCM of 470, 617, 390, 924, 962
1. What is the LCM of 470, 617, 390, 924, 962?
Answer: LCM of 470, 617, 390, 924, 962 is 64442157780.
2. How to calculate the LCM of 470, 617, 390, 924, 962?
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 470, 617, 390, 924, 962.
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}.