LCM of 240, 628, 628, 430, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 628, 628, 430, 697 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 240, 628, 628, 430, 697. So, keep reading to learn more.
Given numbers are 240,628,628,430,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,628,628,430,697 is 1129307280.
Find LCM of 240,628,628,430,697 with Prime Factorization
| 2 | 240, 628, 628, 430, 697 |
| 2 | 120, 314, 314, 215, 697 |
| 5 | 60, 157, 157, 215, 697 |
| 157 | 12, 157, 157, 43, 697 |
| 12, 1, 1, 43, 697 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 157 x 12 x 1 x 1 x 43 x 697 = 1129307280
Therefore, the lowest common multiple of 240,628,628,430,697 is 1129307280.
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.
240 x 628 x 628 x 430 x 697 = 28368198873600
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
628 : 1, 2, 4, 157, 314, 628
628 : 1, 2, 4, 157, 314, 628
430 : 1, 2, 5, 10, 43, 86, 215, 430
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,628,628,430,697, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
628:2x 2x 157
628:2x 2x 157
430:2x 5x 43
697:17x 41
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 2x 5x 157 = 25120
Therefore, the value for common factors is 25120.
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 = 28368198873600/(1x25120)
LCM = 28368198873600/25120
LCM = 1129307280
Thus, we can understand that the LCM of 240,628,628,430,697 is 1129307280.
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FAQs on LCM of 240, 628, 628, 430, 697
1. What is the LCM of 240, 628, 628, 430, 697?
Answer: LCM of 240, 628, 628, 430, 697 is 1129307280.
2. How to calculate the LCM of 240, 628, 628, 430, 697?
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 240, 628, 628, 430, 697.
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}.