LCM of 965, 332, 390, 520, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 332, 390, 520, 642 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 965, 332, 390, 520, 642. So, keep reading to learn more.
Given numbers are 965,332,390,520,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,332,390,520,642 is 2673891480.
Find LCM of 965,332,390,520,642 with Prime Factorization
| 2 | 965, 332, 390, 520, 642 |
| 2 | 965, 166, 195, 260, 321 |
| 3 | 965, 83, 195, 130, 321 |
| 5 | 965, 83, 65, 130, 107 |
| 13 | 193, 83, 13, 26, 107 |
| 193, 83, 1, 2, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 193 x 83 x 1 x 2 x 107 = 2673891480
Therefore, the lowest common multiple of 965,332,390,520,642 is 2673891480.
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.
965 x 332 x 390 x 520 x 642 = 41712707088000
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.
965 : 1, 5, 193, 965
332 : 1, 2, 4, 83, 166, 332
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,332,390,520,642, is 1.
Now, the common factors can be found like this.
965:5x 193
332:2x 2x 83
390:2x 3x 5x 13
520:2x 2x 2x 5x 13
642:2x 3x 107
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 3x 5x 5x 13 = 15600
Therefore, the value for common factors is 15600.
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 = 41712707088000/(1x15600)
LCM = 41712707088000/15600
LCM = 2673891480
Thus, we can understand that the LCM of 965,332,390,520,642 is 2673891480.
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FAQs on LCM of 965, 332, 390, 520, 642
1. What is the LCM of 965, 332, 390, 520, 642?
Answer: LCM of 965, 332, 390, 520, 642 is 2673891480.
2. How to calculate the LCM of 965, 332, 390, 520, 642?
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 965, 332, 390, 520, 642.
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}.