LCM of 372, 533, 858, 525, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 372, 533, 858, 525, 805 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 372, 533, 858, 525, 805. So, keep reading to learn more.
Given numbers are 372,533,858,525,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,533,858,525,805 is 8778669900.
Find LCM of 372,533,858,525,805 with Prime Factorization
| 2 | 372, 533, 858, 525, 805 |
| 3 | 186, 533, 429, 525, 805 |
| 5 | 62, 533, 143, 175, 805 |
| 7 | 62, 533, 143, 35, 161 |
| 13 | 62, 533, 143, 5, 23 |
| 62, 41, 11, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 62 x 41 x 11 x 5 x 23 = 8778669900
Therefore, the lowest common multiple of 372,533,858,525,805 is 8778669900.
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.
372 x 533 x 858 x 525 x 805 = 71897306481000
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
533 : 1, 13, 41, 533
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,533,858,525,805, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
533:13x 41
858:2x 3x 11x 13
525:3x 5x 5x 7
805:5x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 7x 13 = 8190
Therefore, the value for common factors is 8190.
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 = 71897306481000/(1x8190)
LCM = 71897306481000/8190
LCM = 8778669900
Thus, we can understand that the LCM of 372,533,858,525,805 is 8778669900.
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FAQs on LCM of 372, 533, 858, 525, 805
1. What is the LCM of 372, 533, 858, 525, 805?
Answer: LCM of 372, 533, 858, 525, 805 is 8778669900.
2. How to calculate the LCM of 372, 533, 858, 525, 805?
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 372, 533, 858, 525, 805.
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}.