LCM of 738, 280, 867, 646, 535
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 738, 280, 867, 646, 535 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 738, 280, 867, 646, 535. So, keep reading to learn more.
Given numbers are 738,280,867,646,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,280,867,646,535 is 60704322840.
Find LCM of 738,280,867,646,535 with Prime Factorization
| 2 | 738, 280, 867, 646, 535 |
| 3 | 369, 140, 867, 323, 535 |
| 5 | 123, 140, 289, 323, 535 |
| 17 | 123, 28, 289, 323, 107 |
| 123, 28, 17, 19, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 123 x 28 x 17 x 19 x 107 = 60704322840
Therefore, the lowest common multiple of 738,280,867,646,535 is 60704322840.
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.
738 x 280 x 867 x 646 x 535 = 61918409296800
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
867 : 1, 3, 17, 51, 289, 867
646 : 1, 2, 17, 19, 34, 38, 323, 646
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,280,867,646,535, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
280:2x 2x 2x 5x 7
867:3x 17x 17
646:2x 17x 19
535:5x 107
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 3x 5x 17 = 1020
Therefore, the value for common factors is 1020.
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 = 61918409296800/(1x1020)
LCM = 61918409296800/1020
LCM = 60704322840
Thus, we can understand that the LCM of 738,280,867,646,535 is 60704322840.
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FAQs on LCM of 738, 280, 867, 646, 535
1. What is the LCM of 738, 280, 867, 646, 535?
Answer: LCM of 738, 280, 867, 646, 535 is 60704322840.
2. How to calculate the LCM of 738, 280, 867, 646, 535?
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 738, 280, 867, 646, 535.
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}.