LCM of 699, 955, 620, 648, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 955, 620, 648, 852 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 699, 955, 620, 648, 852. So, keep reading to learn more.
Given numbers are 699,955,620,648,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,955,620,648,852 is 317361573720.
Find LCM of 699,955,620,648,852 with Prime Factorization
| 2 | 699, 955, 620, 648, 852 |
| 2 | 699, 955, 310, 324, 426 |
| 3 | 699, 955, 155, 162, 213 |
| 5 | 233, 955, 155, 54, 71 |
| 233, 191, 31, 54, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 233 x 191 x 31 x 54 x 71 = 317361573720
Therefore, the lowest common multiple of 699,955,620,648,852 is 317361573720.
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.
699 x 955 x 620 x 648 x 852 = 228500333078400
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.
699 : 1, 3, 233, 699
955 : 1, 5, 191, 955
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,955,620,648,852, is 1.
Now, the common factors can be found like this.
699:3x 233
955:5x 191
620:2x 2x 5x 31
648:2x 2x 2x 3x 3x 3x 3
852:2x 2x 3x 71
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 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 228500333078400/(1x720)
LCM = 228500333078400/720
LCM = 317361573720
Thus, we can understand that the LCM of 699,955,620,648,852 is 317361573720.
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FAQs on LCM of 699, 955, 620, 648, 852
1. What is the LCM of 699, 955, 620, 648, 852?
Answer: LCM of 699, 955, 620, 648, 852 is 317361573720.
2. How to calculate the LCM of 699, 955, 620, 648, 852?
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 699, 955, 620, 648, 852.
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}.