LCM of 357, 646, 619, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 646, 619, 798 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, 646, 619, 798. So, keep reading to learn more.
Given numbers are 357,646,619,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,646,619,798 is 8397354.
Find LCM of 357,646,619,798 with Prime Factorization
| 2 | 357, 646, 619, 798 |
| 3 | 357, 323, 619, 399 |
| 7 | 119, 323, 619, 133 |
| 17 | 17, 323, 619, 19 |
| 19 | 1, 19, 619, 19 |
| 1, 1, 619, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 19 x 1 x 1 x 619 x 1 = 8397354
Therefore, the lowest common multiple of 357,646,619,798 is 8397354.
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 646 x 619 x 798 = 113918504364
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
619 : 1, 619
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,646,619,798, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
646:2x 17x 19
619:619
798:2x 3x 7x 19
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 7x 17x 19 = 13566
Therefore, the value for common factors is 13566.
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 = 113918504364/(1x13566)
LCM = 113918504364/13566
LCM = 8397354
Thus, we can understand that the LCM of 357,646,619,798 is 8397354.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 357, 646, 619, 798
1. What is the LCM of 357, 646, 619, 798?
Answer: LCM of 357, 646, 619, 798 is 8397354.
2. How to calculate the LCM of 357, 646, 619, 798?
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, 646, 619, 798.
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}.