LCM of 732, 910, 780, 910, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 910, 780, 910, 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 732, 910, 780, 910, 642. So, keep reading to learn more.
Given numbers are 732,910,780,910,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,910,780,910,642 is 35637420.
Find LCM of 732,910,780,910,642 with Prime Factorization
| 2 | 732, 910, 780, 910, 642 |
| 2 | 366, 455, 390, 455, 321 |
| 3 | 183, 455, 195, 455, 321 |
| 5 | 61, 455, 65, 455, 107 |
| 7 | 61, 91, 13, 91, 107 |
| 13 | 61, 13, 13, 13, 107 |
| 61, 1, 1, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 13 x 61 x 1 x 1 x 1 x 107 = 35637420
Therefore, the lowest common multiple of 732,910,780,910,642 is 35637420.
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.
732 x 910 x 780 x 910 x 642 = 303545288592000
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
642 : 1, 2, 3, 6, 107, 214, 321, 642
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,910,780,910,642, is 2.
Now, the common factors can be found like this.
732:2x 2x 3x 61
910:2x 5x 7x 13
780:2x 2x 3x 5x 13
910:2x 5x 7x 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 3x 5x 5x 7x 13x 13 = 4258800
Therefore, the value for common factors is 4258800.
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 = 303545288592000/(2x4258800)
LCM = 303545288592000/8517600
LCM = 35637420
Thus, we can understand that the LCM of 732,910,780,910,642 is 35637420.
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FAQs on LCM of 732, 910, 780, 910, 642
1. What is the LCM of 732, 910, 780, 910, 642?
Answer: LCM of 732, 910, 780, 910, 642 is 35637420.
2. How to calculate the LCM of 732, 910, 780, 910, 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 732, 910, 780, 910, 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}.