LCM of 644, 714, 451, 840, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 644, 714, 451, 840, 363 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 644, 714, 451, 840, 363. So, keep reading to learn more.
Given numbers are 644,714,451,840,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,714,451,840,363 is 1629390840.
Find LCM of 644,714,451,840,363 with Prime Factorization
| 2 | 644, 714, 451, 840, 363 |
| 2 | 322, 357, 451, 420, 363 |
| 3 | 161, 357, 451, 210, 363 |
| 7 | 161, 119, 451, 70, 121 |
| 11 | 23, 17, 451, 10, 121 |
| 23, 17, 41, 10, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 23 x 17 x 41 x 10 x 11 = 1629390840
Therefore, the lowest common multiple of 644,714,451,840,363 is 1629390840.
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.
644 x 714 x 451 x 840 x 363 = 63233399718720
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.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
451 : 1, 11, 41, 451
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,714,451,840,363, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
714:2x 3x 7x 17
451:11x 41
840:2x 2x 2x 3x 5x 7
363:3x 11x 11
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 7x 7x 11 = 38808
Therefore, the value for common factors is 38808.
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 = 63233399718720/(1x38808)
LCM = 63233399718720/38808
LCM = 1629390840
Thus, we can understand that the LCM of 644,714,451,840,363 is 1629390840.
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FAQs on LCM of 644, 714, 451, 840, 363
1. What is the LCM of 644, 714, 451, 840, 363?
Answer: LCM of 644, 714, 451, 840, 363 is 1629390840.
2. How to calculate the LCM of 644, 714, 451, 840, 363?
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 644, 714, 451, 840, 363.
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}.