LCM of 399, 314, 867, 612, 651
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 399, 314, 867, 612, 651 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, 314, 867, 612, 651. So, keep reading to learn more.
Given numbers are 399,314,867,612,651
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,314,867,612,651 is 6734623644.
Find LCM of 399,314,867,612,651 with Prime Factorization
| 2 | 399, 314, 867, 612, 651 |
| 3 | 399, 157, 867, 306, 651 |
| 7 | 133, 157, 289, 102, 217 |
| 17 | 19, 157, 289, 102, 31 |
| 19, 157, 17, 6, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 19 x 157 x 17 x 6 x 31 = 6734623644
Therefore, the lowest common multiple of 399,314,867,612,651 is 6734623644.
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 314 x 867 x 612 x 651 = 43276691536344
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
314 : 1, 2, 157, 314
867 : 1, 3, 17, 51, 289, 867
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
651 : 1, 3, 7, 21, 31, 93, 217, 651
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,314,867,612,651, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
314:2x 157
867:3x 17x 17
612:2x 2x 3x 3x 17
651:3x 7x 31
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 3x 7x 17 = 6426
Therefore, the value for common factors is 6426.
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 = 43276691536344/(1x6426)
LCM = 43276691536344/6426
LCM = 6734623644
Thus, we can understand that the LCM of 399,314,867,612,651 is 6734623644.
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FAQs on LCM of 399, 314, 867, 612, 651
1. What is the LCM of 399, 314, 867, 612, 651?
Answer: LCM of 399, 314, 867, 612, 651 is 6734623644.
2. How to calculate the LCM of 399, 314, 867, 612, 651?
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, 314, 867, 612, 651.
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}.