LCM of 154, 133, 772, 589, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 133, 772, 589, 315 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, 133, 772, 589, 315. So, keep reading to learn more.
Given numbers are 154,133,772,589,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,133,772,589,315 is 1575563220.
Find LCM of 154,133,772,589,315 with Prime Factorization
| 2 | 154, 133, 772, 589, 315 |
| 7 | 77, 133, 386, 589, 315 |
| 19 | 11, 19, 386, 589, 45 |
| 11, 1, 386, 31, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 11 x 1 x 386 x 31 x 45 = 1575563220
Therefore, the lowest common multiple of 154,133,772,589,315 is 1575563220.
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 133 x 772 x 589 x 315 = 2933698715640
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
133 : 1, 7, 19, 133
772 : 1, 2, 4, 193, 386, 772
589 : 1, 19, 31, 589
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,133,772,589,315, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
133:7x 19
772:2x 2x 193
589:19x 31
315:3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 19 = 1862
Therefore, the value for common factors is 1862.
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 = 2933698715640/(1x1862)
LCM = 2933698715640/1862
LCM = 1575563220
Thus, we can understand that the LCM of 154,133,772,589,315 is 1575563220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 154, 133, 772, 589, 315
1. What is the LCM of 154, 133, 772, 589, 315?
Answer: LCM of 154, 133, 772, 589, 315 is 1575563220.
2. How to calculate the LCM of 154, 133, 772, 589, 315?
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, 133, 772, 589, 315.
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}.