LCM of 599, 182, 755, 552, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 182, 755, 552, 952 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 599, 182, 755, 552, 952. So, keep reading to learn more.
Given numbers are 599,182,755,552,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,182,755,552,952 is 386191904280.
Find LCM of 599,182,755,552,952 with Prime Factorization
| 2 | 599, 182, 755, 552, 952 |
| 2 | 599, 91, 755, 276, 476 |
| 2 | 599, 91, 755, 138, 238 |
| 7 | 599, 91, 755, 69, 119 |
| 599, 13, 755, 69, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 599 x 13 x 755 x 69 x 17 = 386191904280
Therefore, the lowest common multiple of 599,182,755,552,952 is 386191904280.
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.
599 x 182 x 755 x 552 x 952 = 43253493279360
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.
599 : 1, 599
182 : 1, 2, 7, 13, 14, 26, 91, 182
755 : 1, 5, 151, 755
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,182,755,552,952, is 1.
Now, the common factors can be found like this.
599:599
182:2x 7x 13
755:5x 151
552:2x 2x 2x 3x 23
952:2x 2x 2x 7x 17
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 7 = 112
Therefore, the value for common factors is 112.
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 = 43253493279360/(1x112)
LCM = 43253493279360/112
LCM = 386191904280
Thus, we can understand that the LCM of 599,182,755,552,952 is 386191904280.
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FAQs on LCM of 599, 182, 755, 552, 952
1. What is the LCM of 599, 182, 755, 552, 952?
Answer: LCM of 599, 182, 755, 552, 952 is 386191904280.
2. How to calculate the LCM of 599, 182, 755, 552, 952?
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 599, 182, 755, 552, 952.
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}.