LCM of 930, 901, 800, 619, 349
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 901, 800, 619, 349 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 930, 901, 800, 619, 349. So, keep reading to learn more.
Given numbers are 930,901,800,619,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,901,800,619,349 is 14481508466400.
Find LCM of 930,901,800,619,349 with Prime Factorization
| 2 | 930, 901, 800, 619, 349 |
| 5 | 465, 901, 400, 619, 349 |
| 93, 901, 80, 619, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 93 x 901 x 80 x 619 x 349 = 14481508466400
Therefore, the lowest common multiple of 930,901,800,619,349 is 14481508466400.
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.
930 x 901 x 800 x 619 x 349 = 144815084664000
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
901 : 1, 17, 53, 901
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
619 : 1, 619
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,901,800,619,349, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
901:17x 53
800:2x 2x 2x 2x 2x 5x 5
619:619
349:349
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 144815084664000/(1x10)
LCM = 144815084664000/10
LCM = 14481508466400
Thus, we can understand that the LCM of 930,901,800,619,349 is 14481508466400.
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FAQs on LCM of 930, 901, 800, 619, 349
1. What is the LCM of 930, 901, 800, 619, 349?
Answer: LCM of 930, 901, 800, 619, 349 is 14481508466400.
2. How to calculate the LCM of 930, 901, 800, 619, 349?
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 930, 901, 800, 619, 349.
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}.