LCM of 648, 140, 407, 432, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 648, 140, 407, 432, 721 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 648, 140, 407, 432, 721. So, keep reading to learn more.
Given numbers are 648,140,407,432,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 648,140,407,432,721 is 1901536560.
Find LCM of 648,140,407,432,721 with Prime Factorization
| 2 | 648, 140, 407, 432, 721 |
| 2 | 324, 70, 407, 216, 721 |
| 2 | 162, 35, 407, 108, 721 |
| 3 | 81, 35, 407, 54, 721 |
| 3 | 27, 35, 407, 18, 721 |
| 3 | 9, 35, 407, 6, 721 |
| 7 | 3, 35, 407, 2, 721 |
| 3, 5, 407, 2, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 7 x 3 x 5 x 407 x 2 x 103 = 1901536560
Therefore, the lowest common multiple of 648,140,407,432,721 is 1901536560.
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.
648 x 140 x 407 x 432 x 721 = 11500493114880
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.
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
407 : 1, 11, 37, 407
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,140,407,432,721, is 1.
Now, the common factors can be found like this.
648:2x 2x 2x 3x 3x 3x 3
140:2x 2x 5x 7
407:11x 37
432:2x 2x 2x 2x 3x 3x 3
721:7x 103
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 2x 2x 3x 3x 3x 7 = 6048
Therefore, the value for common factors is 6048.
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 = 11500493114880/(1x6048)
LCM = 11500493114880/6048
LCM = 1901536560
Thus, we can understand that the LCM of 648,140,407,432,721 is 1901536560.
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FAQs on LCM of 648, 140, 407, 432, 721
1. What is the LCM of 648, 140, 407, 432, 721?
Answer: LCM of 648, 140, 407, 432, 721 is 1901536560.
2. How to calculate the LCM of 648, 140, 407, 432, 721?
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 648, 140, 407, 432, 721.
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}.