LCM of 146, 340, 787, 238, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 340, 787, 238, 146 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 146, 340, 787, 238, 146. So, keep reading to learn more.
Given numbers are 146,340,787,238,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,340,787,238,146 is 136733380.
Find LCM of 146,340,787,238,146 with Prime Factorization
| 2 | 146, 340, 787, 238, 146 |
| 17 | 73, 170, 787, 119, 73 |
| 73 | 73, 10, 787, 7, 73 |
| 1, 10, 787, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 73 x 1 x 10 x 787 x 7 x 1 = 136733380
Therefore, the lowest common multiple of 146,340,787,238,146 is 136733380.
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.
146 x 340 x 787 x 238 x 146 = 1357488996640
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.
146 : 1, 2, 73, 146
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
787 : 1, 787
238 : 1, 2, 7, 14, 17, 34, 119, 238
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,340,787,238,146, is 1.
Now, the common factors can be found like this.
146:2x 73
340:2x 2x 5x 17
787:787
238:2x 7x 17
146:2x 73
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 2x 17x 73 = 9928
Therefore, the value for common factors is 9928.
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 = 1357488996640/(1x9928)
LCM = 1357488996640/9928
LCM = 136733380
Thus, we can understand that the LCM of 146,340,787,238,146 is 136733380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 146, 340, 787, 238, 146
1. What is the LCM of 146, 340, 787, 238, 146?
Answer: LCM of 146, 340, 787, 238, 146 is 136733380.
2. How to calculate the LCM of 146, 340, 787, 238, 146?
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 146, 340, 787, 238, 146.
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}.