LCM of 628, 699, 245, 507, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 699, 245, 507, 420 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 628, 699, 245, 507, 420. So, keep reading to learn more.
Given numbers are 628,699,245,507,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,699,245,507,420 is 18175635660.
Find LCM of 628,699,245,507,420 with Prime Factorization
| 2 | 628, 699, 245, 507, 420 |
| 2 | 314, 699, 245, 507, 210 |
| 3 | 157, 699, 245, 507, 105 |
| 5 | 157, 233, 245, 169, 35 |
| 7 | 157, 233, 49, 169, 7 |
| 157, 233, 1, 169, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 157 x 233 x 1 x 169 x 7 = 18175635660
Therefore, the lowest common multiple of 628,699,245,507,420 is 18175635660.
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.
628 x 699 x 245 x 507 x 420 = 22901300931600
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.
628 : 1, 2, 4, 157, 314, 628
699 : 1, 3, 233, 699
245 : 1, 5, 7, 35, 49, 245
507 : 1, 3, 13, 39, 169, 507
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,699,245,507,420, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
699:3x 233
245:5x 7x 7
507:3x 13x 13
420:2x 2x 3x 5x 7
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 7 = 1260
Therefore, the value for common factors is 1260.
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 = 22901300931600/(1x1260)
LCM = 22901300931600/1260
LCM = 18175635660
Thus, we can understand that the LCM of 628,699,245,507,420 is 18175635660.
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FAQs on LCM of 628, 699, 245, 507, 420
1. What is the LCM of 628, 699, 245, 507, 420?
Answer: LCM of 628, 699, 245, 507, 420 is 18175635660.
2. How to calculate the LCM of 628, 699, 245, 507, 420?
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 628, 699, 245, 507, 420.
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}.