LCM of 359, 735, 882, 573, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 735, 882, 573, 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 359, 735, 882, 573, 798. So, keep reading to learn more.
Given numbers are 359,735,882,573,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,735,882,573,798 is 5745396510.
Find LCM of 359,735,882,573,798 with Prime Factorization
| 2 | 359, 735, 882, 573, 798 |
| 3 | 359, 735, 441, 573, 399 |
| 7 | 359, 245, 147, 191, 133 |
| 7 | 359, 35, 21, 191, 19 |
| 359, 5, 3, 191, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 359 x 5 x 3 x 191 x 19 = 5745396510
Therefore, the lowest common multiple of 359,735,882,573,798 is 5745396510.
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.
359 x 735 x 882 x 573 x 798 = 106416234158220
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.
359 : 1, 359
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
573 : 1, 3, 191, 573
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 359,735,882,573,798, is 1.
Now, the common factors can be found like this.
359:359
735:3x 5x 7x 7
882:2x 3x 3x 7x 7
573:3x 191
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 3x 3x 7x 7x 7 = 18522
Therefore, the value for common factors is 18522.
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 = 106416234158220/(1x18522)
LCM = 106416234158220/18522
LCM = 5745396510
Thus, we can understand that the LCM of 359,735,882,573,798 is 5745396510.
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FAQs on LCM of 359, 735, 882, 573, 798
1. What is the LCM of 359, 735, 882, 573, 798?
Answer: LCM of 359, 735, 882, 573, 798 is 5745396510.
2. How to calculate the LCM of 359, 735, 882, 573, 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 359, 735, 882, 573, 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}.