LCM of 650, 648, 736, 659, 376
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 648, 736, 659, 376 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 650, 648, 736, 659, 376. So, keep reading to learn more.
Given numbers are 650,648,736,659,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,648,736,659,376 is 600108069600.
Find LCM of 650,648,736,659,376 with Prime Factorization
| 2 | 650, 648, 736, 659, 376 |
| 2 | 325, 324, 368, 659, 188 |
| 2 | 325, 162, 184, 659, 94 |
| 325, 81, 92, 659, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 325 x 81 x 92 x 659 x 47 = 600108069600
Therefore, the lowest common multiple of 650,648,736,659,376 is 600108069600.
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.
650 x 648 x 736 x 659 x 376 = 76813832908800
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
659 : 1, 659
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,648,736,659,376, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
648:2x 2x 2x 3x 3x 3x 3
736:2x 2x 2x 2x 2x 23
659:659
376:2x 2x 2x 47
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 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 76813832908800/(1x128)
LCM = 76813832908800/128
LCM = 600108069600
Thus, we can understand that the LCM of 650,648,736,659,376 is 600108069600.
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FAQs on LCM of 650, 648, 736, 659, 376
1. What is the LCM of 650, 648, 736, 659, 376?
Answer: LCM of 650, 648, 736, 659, 376 is 600108069600.
2. How to calculate the LCM of 650, 648, 736, 659, 376?
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 650, 648, 736, 659, 376.
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}.