LCM of 154, 239, 589, 372, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 239, 589, 372, 517 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 154, 239, 589, 372, 517. So, keep reading to learn more.
Given numbers are 154,239,589,372,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,239,589,372,517 is 6113402988.
Find LCM of 154,239,589,372,517 with Prime Factorization
| 2 | 154, 239, 589, 372, 517 |
| 11 | 77, 239, 589, 186, 517 |
| 31 | 7, 239, 589, 186, 47 |
| 7, 239, 19, 6, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 7 x 239 x 19 x 6 x 47 = 6113402988
Therefore, the lowest common multiple of 154,239,589,372,517 is 6113402988.
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.
154 x 239 x 589 x 372 x 517 = 4169340837816
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
239 : 1, 239
589 : 1, 19, 31, 589
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,239,589,372,517, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
239:239
589:19x 31
372:2x 2x 3x 31
517:11x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 31 = 682
Therefore, the value for common factors is 682.
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 = 4169340837816/(1x682)
LCM = 4169340837816/682
LCM = 6113402988
Thus, we can understand that the LCM of 154,239,589,372,517 is 6113402988.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 154, 239, 589, 372, 517
1. What is the LCM of 154, 239, 589, 372, 517?
Answer: LCM of 154, 239, 589, 372, 517 is 6113402988.
2. How to calculate the LCM of 154, 239, 589, 372, 517?
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 154, 239, 589, 372, 517.
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}.