LCM of 357, 767, 221, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 767, 221, 986 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 357, 767, 221, 986. So, keep reading to learn more.
Given numbers are 357,767,221,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,767,221,986 is 15881502.
Find LCM of 357,767,221,986 with Prime Factorization
| 13 | 357, 767, 221, 986 |
| 17 | 357, 59, 17, 986 |
| 21, 59, 1, 58 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 21 x 59 x 1 x 58 = 15881502
Therefore, the lowest common multiple of 357,767,221,986 is 15881502.
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.
357 x 767 x 221 x 986 = 59666803014
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
767 : 1, 13, 59, 767
221 : 1, 13, 17, 221
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,767,221,986, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
767:13x 59
221:13x 17
986:2x 17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17x 17 = 3757
Therefore, the value for common factors is 3757.
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 = 59666803014/(1x3757)
LCM = 59666803014/3757
LCM = 15881502
Thus, we can understand that the LCM of 357,767,221,986 is 15881502.
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FAQs on LCM of 357, 767, 221, 986
1. What is the LCM of 357, 767, 221, 986?
Answer: LCM of 357, 767, 221, 986 is 15881502.
2. How to calculate the LCM of 357, 767, 221, 986?
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 357, 767, 221, 986.
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}.