LCM of 399, 684, 703, 893, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 399, 684, 703, 893, 765 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 399, 684, 703, 893, 765. So, keep reading to learn more.
Given numbers are 399,684,703,893,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,684,703,893,765 is 707738220.
Find LCM of 399,684,703,893,765 with Prime Factorization
| 3 | 399, 684, 703, 893, 765 |
| 3 | 133, 228, 703, 893, 255 |
| 19 | 133, 76, 703, 893, 85 |
| 7, 4, 37, 47, 85 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 7 x 4 x 37 x 47 x 85 = 707738220
Therefore, the lowest common multiple of 399,684,703,893,765 is 707738220.
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.
399 x 684 x 703 x 893 x 765 = 131068164176460
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
703 : 1, 19, 37, 703
893 : 1, 19, 47, 893
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,684,703,893,765, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
684:2x 2x 3x 3x 19
703:19x 37
893:19x 47
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 19x 19x 19 = 185193
Therefore, the value for common factors is 185193.
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 = 131068164176460/(1x185193)
LCM = 131068164176460/185193
LCM = 707738220
Thus, we can understand that the LCM of 399,684,703,893,765 is 707738220.
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FAQs on LCM of 399, 684, 703, 893, 765
1. What is the LCM of 399, 684, 703, 893, 765?
Answer: LCM of 399, 684, 703, 893, 765 is 707738220.
2. How to calculate the LCM of 399, 684, 703, 893, 765?
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 399, 684, 703, 893, 765.
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}.