LCM of 700, 205, 186, 462, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 700, 205, 186, 462, 759 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 700, 205, 186, 462, 759. So, keep reading to learn more.
Given numbers are 700,205,186,462,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 700,205,186,462,759 is 675282300.
Find LCM of 700,205,186,462,759 with Prime Factorization
| 2 | 700, 205, 186, 462, 759 |
| 3 | 350, 205, 93, 231, 759 |
| 5 | 350, 205, 31, 77, 253 |
| 7 | 70, 41, 31, 77, 253 |
| 11 | 10, 41, 31, 11, 253 |
| 10, 41, 31, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 10 x 41 x 31 x 1 x 23 = 675282300
Therefore, the lowest common multiple of 700,205,186,462,759 is 675282300.
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.
700 x 205 x 186 x 462 x 759 = 9359412678000
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.
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
205 : 1, 5, 41, 205
186 : 1, 2, 3, 6, 31, 62, 93, 186
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,205,186,462,759, is 1.
Now, the common factors can be found like this.
700:2x 2x 5x 5x 7
205:5x 41
186:2x 3x 31
462:2x 3x 7x 11
759:3x 11x 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 2x 3x 3x 5x 7x 11 = 13860
Therefore, the value for common factors is 13860.
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 = 9359412678000/(1x13860)
LCM = 9359412678000/13860
LCM = 675282300
Thus, we can understand that the LCM of 700,205,186,462,759 is 675282300.
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FAQs on LCM of 700, 205, 186, 462, 759
1. What is the LCM of 700, 205, 186, 462, 759?
Answer: LCM of 700, 205, 186, 462, 759 is 675282300.
2. How to calculate the LCM of 700, 205, 186, 462, 759?
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 700, 205, 186, 462, 759.
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}.