LCM of 230, 308, 488, 765, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 308, 488, 765, 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 230, 308, 488, 765, 748. So, keep reading to learn more.
Given numbers are 230,308,488,765,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,308,488,765,748 is 661149720.
Find LCM of 230,308,488,765,748 with Prime Factorization
| 2 | 230, 308, 488, 765, 748 |
| 2 | 115, 154, 244, 765, 374 |
| 5 | 115, 77, 122, 765, 187 |
| 11 | 23, 77, 122, 153, 187 |
| 17 | 23, 7, 122, 153, 17 |
| 23, 7, 122, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 17 x 23 x 7 x 122 x 9 x 1 = 661149720
Therefore, the lowest common multiple of 230,308,488,765,748 is 661149720.
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.
230 x 308 x 488 x 765 x 748 = 19781599622400
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
488 : 1, 2, 4, 8, 61, 122, 244, 488
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
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 230,308,488,765,748, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
308:2x 2x 7x 11
488:2x 2x 2x 61
765:3x 3x 5x 17
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 2x 2x 2x 2x 5x 11x 17 = 29920
Therefore, the value for common factors is 29920.
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 = 19781599622400/(1x29920)
LCM = 19781599622400/29920
LCM = 661149720
Thus, we can understand that the LCM of 230,308,488,765,748 is 661149720.
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FAQs on LCM of 230, 308, 488, 765, 748
1. What is the LCM of 230, 308, 488, 765, 748?
Answer: LCM of 230, 308, 488, 765, 748 is 661149720.
2. How to calculate the LCM of 230, 308, 488, 765, 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 230, 308, 488, 765, 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}.