LCM of 779, 900, 564, 861, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 900, 564, 861, 802 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 779, 900, 564, 861, 802. So, keep reading to learn more.
Given numbers are 779,900,564,861,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,900,564,861,802 is 92495421900.
Find LCM of 779,900,564,861,802 with Prime Factorization
| 2 | 779, 900, 564, 861, 802 |
| 2 | 779, 450, 282, 861, 401 |
| 3 | 779, 225, 141, 861, 401 |
| 41 | 779, 75, 47, 287, 401 |
| 19, 75, 47, 7, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 19 x 75 x 47 x 7 x 401 = 92495421900
Therefore, the lowest common multiple of 779,900,564,861,802 is 92495421900.
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.
779 x 900 x 564 x 861 x 802 = 273046485448800
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.
779 : 1, 19, 41, 779
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
861 : 1, 3, 7, 21, 41, 123, 287, 861
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,900,564,861,802, is 1.
Now, the common factors can be found like this.
779:19x 41
900:2x 2x 3x 3x 5x 5
564:2x 2x 3x 47
861:3x 7x 41
802:2x 401
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 3x 3x 41 = 2952
Therefore, the value for common factors is 2952.
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 = 273046485448800/(1x2952)
LCM = 273046485448800/2952
LCM = 92495421900
Thus, we can understand that the LCM of 779,900,564,861,802 is 92495421900.
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FAQs on LCM of 779, 900, 564, 861, 802
1. What is the LCM of 779, 900, 564, 861, 802?
Answer: LCM of 779, 900, 564, 861, 802 is 92495421900.
2. How to calculate the LCM of 779, 900, 564, 861, 802?
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 779, 900, 564, 861, 802.
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}.