LCM of 679, 732, 899, 210, 590
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 679, 732, 899, 210, 590 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 679, 732, 899, 210, 590. So, keep reading to learn more.
Given numbers are 679,732,899,210,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 679,732,899,210,590 is 131814310740.
Find LCM of 679,732,899,210,590 with Prime Factorization
| 2 | 679, 732, 899, 210, 590 |
| 3 | 679, 366, 899, 105, 295 |
| 5 | 679, 122, 899, 35, 295 |
| 7 | 679, 122, 899, 7, 59 |
| 97, 122, 899, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 97 x 122 x 899 x 1 x 59 = 131814310740
Therefore, the lowest common multiple of 679,732,899,210,590 is 131814310740.
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.
679 x 732 x 899 x 210 x 590 = 55362010510800
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.
679 : 1, 7, 97, 679
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
899 : 1, 29, 31, 899
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,732,899,210,590, is 1.
Now, the common factors can be found like this.
679:7x 97
732:2x 2x 3x 61
899:29x 31
210:2x 3x 5x 7
590:2x 5x 59
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 7 = 420
Therefore, the value for common factors is 420.
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 = 55362010510800/(1x420)
LCM = 55362010510800/420
LCM = 131814310740
Thus, we can understand that the LCM of 679,732,899,210,590 is 131814310740.
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FAQs on LCM of 679, 732, 899, 210, 590
1. What is the LCM of 679, 732, 899, 210, 590?
Answer: LCM of 679, 732, 899, 210, 590 is 131814310740.
2. How to calculate the LCM of 679, 732, 899, 210, 590?
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 679, 732, 899, 210, 590.
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}.