LCM of 374, 525, 786, 915, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 525, 786, 915, 764 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 374, 525, 786, 915, 764. So, keep reading to learn more.
Given numbers are 374,525,786,915,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,525,786,915,764 is 599370548700.
Find LCM of 374,525,786,915,764 with Prime Factorization
| 2 | 374, 525, 786, 915, 764 |
| 3 | 187, 525, 393, 915, 382 |
| 5 | 187, 175, 131, 305, 382 |
| 187, 35, 131, 61, 382 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 187 x 35 x 131 x 61 x 382 = 599370548700
Therefore, the lowest common multiple of 374,525,786,915,764 is 599370548700.
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.
374 x 525 x 786 x 915 x 764 = 107886698766000
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
786 : 1, 2, 3, 6, 131, 262, 393, 786
915 : 1, 3, 5, 15, 61, 183, 305, 915
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,525,786,915,764, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
525:3x 5x 5x 7
786:2x 3x 131
915:3x 5x 61
764:2x 2x 191
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 107886698766000/(1x180)
LCM = 107886698766000/180
LCM = 599370548700
Thus, we can understand that the LCM of 374,525,786,915,764 is 599370548700.
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FAQs on LCM of 374, 525, 786, 915, 764
1. What is the LCM of 374, 525, 786, 915, 764?
Answer: LCM of 374, 525, 786, 915, 764 is 599370548700.
2. How to calculate the LCM of 374, 525, 786, 915, 764?
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 374, 525, 786, 915, 764.
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}.