LCM of 161, 742, 989, 813, 551
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 161, 742, 989, 813, 551 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 161, 742, 989, 813, 551. So, keep reading to learn more.
Given numbers are 161,742,989,813,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,742,989,813,551 is 328732271994.
Find LCM of 161,742,989,813,551 with Prime Factorization
| 7 | 161, 742, 989, 813, 551 |
| 23 | 23, 106, 989, 813, 551 |
| 1, 106, 43, 813, 551 |
Multiply the prime numbers at the bottom and the left side.
7 x 23 x 1 x 106 x 43 x 813 x 551 = 328732271994
Therefore, the lowest common multiple of 161,742,989,813,551 is 328732271994.
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.
161 x 742 x 989 x 813 x 551 = 52925895791034
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.
161 : 1, 7, 23, 161
742 : 1, 2, 7, 14, 53, 106, 371, 742
989 : 1, 23, 43, 989
813 : 1, 3, 271, 813
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,742,989,813,551, is 1.
Now, the common factors can be found like this.
161:7x 23
742:2x 7x 53
989:23x 43
813:3x 271
551:19x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 23 = 161
Therefore, the value for common factors is 161.
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 = 52925895791034/(1x161)
LCM = 52925895791034/161
LCM = 328732271994
Thus, we can understand that the LCM of 161,742,989,813,551 is 328732271994.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 161, 742, 989, 813, 551
1. What is the LCM of 161, 742, 989, 813, 551?
Answer: LCM of 161, 742, 989, 813, 551 is 328732271994.
2. How to calculate the LCM of 161, 742, 989, 813, 551?
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 161, 742, 989, 813, 551.
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}.