LCM of 362, 835, 494, 930, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 835, 494, 930, 730 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 362, 835, 494, 930, 730. So, keep reading to learn more.
Given numbers are 362,835,494,930,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,835,494,930,730 is 506871424410.
Find LCM of 362,835,494,930,730 with Prime Factorization
| 2 | 362, 835, 494, 930, 730 |
| 5 | 181, 835, 247, 465, 365 |
| 181, 167, 247, 93, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 181 x 167 x 247 x 93 x 73 = 506871424410
Therefore, the lowest common multiple of 362,835,494,930,730 is 506871424410.
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.
362 x 835 x 494 x 930 x 730 = 101374284882000
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.
362 : 1, 2, 181, 362
835 : 1, 5, 167, 835
494 : 1, 2, 13, 19, 26, 38, 247, 494
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,835,494,930,730, is 1.
Now, the common factors can be found like this.
362:2x 181
835:5x 167
494:2x 13x 19
930:2x 3x 5x 31
730:2x 5x 73
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 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 101374284882000/(1x200)
LCM = 101374284882000/200
LCM = 506871424410
Thus, we can understand that the LCM of 362,835,494,930,730 is 506871424410.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 362, 835, 494, 930, 730
1. What is the LCM of 362, 835, 494, 930, 730?
Answer: LCM of 362, 835, 494, 930, 730 is 506871424410.
2. How to calculate the LCM of 362, 835, 494, 930, 730?
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 362, 835, 494, 930, 730.
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}.