LCM of 930, 990, 609, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 990, 609, 707 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, 990, 609, 707. So, keep reading to learn more.
Given numbers are 930,990,609,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,990,609,707 is 629237070.
Find LCM of 930,990,609,707 with Prime Factorization
| 2 | 930, 990, 609, 707 |
| 3 | 465, 495, 609, 707 |
| 5 | 155, 165, 203, 707 |
| 7 | 31, 33, 203, 707 |
| 31, 33, 29, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 31 x 33 x 29 x 101 = 629237070
Therefore, the lowest common multiple of 930,990,609,707 is 629237070.
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 990 x 609 x 707 = 396419354100
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
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
609 : 1, 3, 7, 21, 29, 87, 203, 609
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,990,609,707, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
990:2x 3x 3x 5x 11
609:3x 7x 29
707:7x 101
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 3x 5x 7 = 630
Therefore, the value for common factors is 630.
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 = 396419354100/(1x630)
LCM = 396419354100/630
LCM = 629237070
Thus, we can understand that the LCM of 930,990,609,707 is 629237070.
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FAQs on LCM of 930, 990, 609, 707
1. What is the LCM of 930, 990, 609, 707?
Answer: LCM of 930, 990, 609, 707 is 629237070.
2. How to calculate the LCM of 930, 990, 609, 707?
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, 990, 609, 707.
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}.