LCM of 868, 294, 489, 763, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 294, 489, 763, 399 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 868, 294, 489, 763, 399. So, keep reading to learn more.
Given numbers are 868,294,489,763,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,294,489,763,399 is 6153280644.
Find LCM of 868,294,489,763,399 with Prime Factorization
| 2 | 868, 294, 489, 763, 399 |
| 3 | 434, 147, 489, 763, 399 |
| 7 | 434, 49, 163, 763, 133 |
| 62, 7, 163, 109, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 62 x 7 x 163 x 109 x 19 = 6153280644
Therefore, the lowest common multiple of 868,294,489,763,399 is 6153280644.
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.
868 x 294 x 489 x 763 x 399 = 37990354696056
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
489 : 1, 3, 163, 489
763 : 1, 7, 109, 763
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,294,489,763,399, is 1.
Now, the common factors can be found like this.
868:2x 2x 7x 31
294:2x 3x 7x 7
489:3x 163
763:7x 109
399:3x 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 7x 7x 7 = 6174
Therefore, the value for common factors is 6174.
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 = 37990354696056/(1x6174)
LCM = 37990354696056/6174
LCM = 6153280644
Thus, we can understand that the LCM of 868,294,489,763,399 is 6153280644.
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FAQs on LCM of 868, 294, 489, 763, 399
1. What is the LCM of 868, 294, 489, 763, 399?
Answer: LCM of 868, 294, 489, 763, 399 is 6153280644.
2. How to calculate the LCM of 868, 294, 489, 763, 399?
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 868, 294, 489, 763, 399.
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}.