LCM of 528, 723, 595, 952, 937
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 528, 723, 595, 952, 937 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 528, 723, 595, 952, 937. So, keep reading to learn more.
Given numbers are 528,723,595,952,937
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,723,595,952,937 is 70942668720.
Find LCM of 528,723,595,952,937 with Prime Factorization
| 2 | 528, 723, 595, 952, 937 |
| 2 | 264, 723, 595, 476, 937 |
| 2 | 132, 723, 595, 238, 937 |
| 3 | 66, 723, 595, 119, 937 |
| 7 | 22, 241, 595, 119, 937 |
| 17 | 22, 241, 85, 17, 937 |
| 22, 241, 5, 1, 937 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 17 x 22 x 241 x 5 x 1 x 937 = 70942668720
Therefore, the lowest common multiple of 528,723,595,952,937 is 70942668720.
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.
528 x 723 x 595 x 952 x 937 = 202612261864320
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
723 : 1, 3, 241, 723
595 : 1, 5, 7, 17, 35, 85, 119, 595
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
937 : 1, 937
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,723,595,952,937, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
723:3x 241
595:5x 7x 17
952:2x 2x 2x 7x 17
937:937
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 7x 17 = 2856
Therefore, the value for common factors is 2856.
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 = 202612261864320/(1x2856)
LCM = 202612261864320/2856
LCM = 70942668720
Thus, we can understand that the LCM of 528,723,595,952,937 is 70942668720.
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FAQs on LCM of 528, 723, 595, 952, 937
1. What is the LCM of 528, 723, 595, 952, 937?
Answer: LCM of 528, 723, 595, 952, 937 is 70942668720.
2. How to calculate the LCM of 528, 723, 595, 952, 937?
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 528, 723, 595, 952, 937.
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}.