LCM of 861, 305, 398, 420, 757
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 305, 398, 420, 757 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 861, 305, 398, 420, 757. So, keep reading to learn more.
Given numbers are 861,305,398,420,757
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,305,398,420,757 is 158238420060.
Find LCM of 861,305,398,420,757 with Prime Factorization
| 2 | 861, 305, 398, 420, 757 |
| 3 | 861, 305, 199, 210, 757 |
| 5 | 287, 305, 199, 70, 757 |
| 7 | 287, 61, 199, 14, 757 |
| 41, 61, 199, 2, 757 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 41 x 61 x 199 x 2 x 757 = 158238420060
Therefore, the lowest common multiple of 861,305,398,420,757 is 158238420060.
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.
861 x 305 x 398 x 420 x 757 = 33230068212600
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
305 : 1, 5, 61, 305
398 : 1, 2, 199, 398
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
757 : 1, 757
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,305,398,420,757, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
305:5x 61
398:2x 199
420:2x 2x 3x 5x 7
757:757
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 33230068212600/(1x210)
LCM = 33230068212600/210
LCM = 158238420060
Thus, we can understand that the LCM of 861,305,398,420,757 is 158238420060.
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FAQs on LCM of 861, 305, 398, 420, 757
1. What is the LCM of 861, 305, 398, 420, 757?
Answer: LCM of 861, 305, 398, 420, 757 is 158238420060.
2. How to calculate the LCM of 861, 305, 398, 420, 757?
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 861, 305, 398, 420, 757.
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}.