LCM of 930, 748, 609, 631, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 748, 609, 631, 408 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 930, 748, 609, 631, 408. So, keep reading to learn more.
Given numbers are 930,748,609,631,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,748,609,631,408 is 89106614520.
Find LCM of 930,748,609,631,408 with Prime Factorization
| 2 | 930, 748, 609, 631, 408 |
| 2 | 465, 374, 609, 631, 204 |
| 3 | 465, 187, 609, 631, 102 |
| 17 | 155, 187, 203, 631, 34 |
| 155, 11, 203, 631, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 155 x 11 x 203 x 631 x 2 = 89106614520
Therefore, the lowest common multiple of 930,748,609,631,408 is 89106614520.
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.
930 x 748 x 609 x 631 x 408 = 109066496172480
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
609 : 1, 3, 7, 21, 29, 87, 203, 609
631 : 1, 631
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,748,609,631,408, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
748:2x 2x 11x 17
609:3x 7x 29
631:631
408:2x 2x 2x 3x 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 2x 2x 3x 3x 17 = 1224
Therefore, the value for common factors is 1224.
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 = 109066496172480/(1x1224)
LCM = 109066496172480/1224
LCM = 89106614520
Thus, we can understand that the LCM of 930,748,609,631,408 is 89106614520.
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FAQs on LCM of 930, 748, 609, 631, 408
1. What is the LCM of 930, 748, 609, 631, 408?
Answer: LCM of 930, 748, 609, 631, 408 is 89106614520.
2. How to calculate the LCM of 930, 748, 609, 631, 408?
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 930, 748, 609, 631, 408.
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}.