LCM of 802, 589, 305, 994, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 802, 589, 305, 994, 355 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 802, 589, 305, 994, 355. So, keep reading to learn more.
Given numbers are 802,589,305,994,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,589,305,994,355 is 71605419130.
Find LCM of 802,589,305,994,355 with Prime Factorization
| 2 | 802, 589, 305, 994, 355 |
| 5 | 401, 589, 305, 497, 355 |
| 71 | 401, 589, 61, 497, 71 |
| 401, 589, 61, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 71 x 401 x 589 x 61 x 7 x 1 = 71605419130
Therefore, the lowest common multiple of 802,589,305,994,355 is 71605419130.
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.
802 x 589 x 305 x 994 x 355 = 50839847582300
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.
802 : 1, 2, 401, 802
589 : 1, 19, 31, 589
305 : 1, 5, 61, 305
994 : 1, 2, 7, 14, 71, 142, 497, 994
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,589,305,994,355, is 1.
Now, the common factors can be found like this.
802:2x 401
589:19x 31
305:5x 61
994:2x 7x 71
355:5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 71 = 710
Therefore, the value for common factors is 710.
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 = 50839847582300/(1x710)
LCM = 50839847582300/710
LCM = 71605419130
Thus, we can understand that the LCM of 802,589,305,994,355 is 71605419130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 802, 589, 305, 994, 355
1. What is the LCM of 802, 589, 305, 994, 355?
Answer: LCM of 802, 589, 305, 994, 355 is 71605419130.
2. How to calculate the LCM of 802, 589, 305, 994, 355?
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 802, 589, 305, 994, 355.
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}.