LCM of 155, 735, 899, 623, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 155, 735, 899, 623, 681 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 155, 735, 899, 623, 681. So, keep reading to learn more.
Given numbers are 155,735,899,623,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 155,735,899,623,681 is 13349435295.
Find LCM of 155,735,899,623,681 with Prime Factorization
| 3 | 155, 735, 899, 623, 681 |
| 5 | 155, 245, 899, 623, 227 |
| 7 | 31, 49, 899, 623, 227 |
| 31 | 31, 7, 899, 89, 227 |
| 1, 7, 29, 89, 227 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 31 x 1 x 7 x 29 x 89 x 227 = 13349435295
Therefore, the lowest common multiple of 155,735,899,623,681 is 13349435295.
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.
155 x 735 x 899 x 623 x 681 = 43452411885225
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.
155 : 1, 5, 31, 155
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
899 : 1, 29, 31, 899
623 : 1, 7, 89, 623
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,735,899,623,681, is 1.
Now, the common factors can be found like this.
155:5x 31
735:3x 5x 7x 7
899:29x 31
623:7x 89
681:3x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 31 = 3255
Therefore, the value for common factors is 3255.
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 = 43452411885225/(1x3255)
LCM = 43452411885225/3255
LCM = 13349435295
Thus, we can understand that the LCM of 155,735,899,623,681 is 13349435295.
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FAQs on LCM of 155, 735, 899, 623, 681
1. What is the LCM of 155, 735, 899, 623, 681?
Answer: LCM of 155, 735, 899, 623, 681 is 13349435295.
2. How to calculate the LCM of 155, 735, 899, 623, 681?
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 155, 735, 899, 623, 681.
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}.