LCM of 959, 448, 575, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 448, 575, 608 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 959, 448, 575, 608. So, keep reading to learn more.
Given numbers are 959,448,575,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,448,575,608 is 670532800.
Find LCM of 959,448,575,608 with Prime Factorization
| 2 | 959, 448, 575, 608 |
| 2 | 959, 224, 575, 304 |
| 2 | 959, 112, 575, 152 |
| 2 | 959, 56, 575, 76 |
| 2 | 959, 28, 575, 38 |
| 7 | 959, 14, 575, 19 |
| 137, 2, 575, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 137 x 2 x 575 x 19 = 670532800
Therefore, the lowest common multiple of 959,448,575,608 is 670532800.
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.
959 x 448 x 575 x 608 = 150199347200
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.
959 : 1, 7, 137, 959
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
575 : 1, 5, 23, 25, 115, 575
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,448,575,608, is 1.
Now, the common factors can be found like this.
959:7x 137
448:2x 2x 2x 2x 2x 2x 7
575:5x 5x 23
608:2x 2x 2x 2x 2x 19
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 7 = 224
Therefore, the value for common factors is 224.
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 = 150199347200/(1x224)
LCM = 150199347200/224
LCM = 670532800
Thus, we can understand that the LCM of 959,448,575,608 is 670532800.
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FAQs on LCM of 959, 448, 575, 608
1. What is the LCM of 959, 448, 575, 608?
Answer: LCM of 959, 448, 575, 608 is 670532800.
2. How to calculate the LCM of 959, 448, 575, 608?
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 959, 448, 575, 608.
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}.