LCM of 717, 133, 930, 133, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 133, 930, 133, 748 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 717, 133, 930, 133, 748. So, keep reading to learn more.
Given numbers are 717,133,930,133,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,133,930,133,748 is 11056154340.
Find LCM of 717,133,930,133,748 with Prime Factorization
| 2 | 717, 133, 930, 133, 748 |
| 3 | 717, 133, 465, 133, 374 |
| 7 | 239, 133, 155, 133, 374 |
| 19 | 239, 19, 155, 19, 374 |
| 239, 1, 155, 1, 374 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 239 x 1 x 155 x 1 x 374 = 11056154340
Therefore, the lowest common multiple of 717,133,930,133,748 is 11056154340.
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.
717 x 133 x 930 x 133 x 748 = 8822811163320
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.
717 : 1, 3, 239, 717
133 : 1, 7, 19, 133
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
133 : 1, 7, 19, 133
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,133,930,133,748, is 1.
Now, the common factors can be found like this.
717:3x 239
133:7x 19
930:2x 3x 5x 31
133:7x 19
748:2x 2x 11x 17
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 7x 19 = 798
Therefore, the value for common factors is 798.
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 = 8822811163320/(1x798)
LCM = 8822811163320/798
LCM = 11056154340
Thus, we can understand that the LCM of 717,133,930,133,748 is 11056154340.
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FAQs on LCM of 717, 133, 930, 133, 748
1. What is the LCM of 717, 133, 930, 133, 748?
Answer: LCM of 717, 133, 930, 133, 748 is 11056154340.
2. How to calculate the LCM of 717, 133, 930, 133, 748?
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 717, 133, 930, 133, 748.
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}.