LCM of 368, 283, 420, 690, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 283, 420, 690, 130 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 368, 283, 420, 690, 130. So, keep reading to learn more.
Given numbers are 368,283,420,690,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,283,420,690,130 is 142156560.
Find LCM of 368,283,420,690,130 with Prime Factorization
| 2 | 368, 283, 420, 690, 130 |
| 2 | 184, 283, 210, 345, 65 |
| 3 | 92, 283, 105, 345, 65 |
| 5 | 92, 283, 35, 115, 65 |
| 23 | 92, 283, 7, 23, 13 |
| 4, 283, 7, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 4 x 283 x 7 x 1 x 13 = 142156560
Therefore, the lowest common multiple of 368,283,420,690,130 is 142156560.
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.
368 x 283 x 420 x 690 x 130 = 3923521056000
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
283 : 1, 283
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,283,420,690,130, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
283:283
420:2x 2x 3x 5x 7
690:2x 3x 5x 23
130:2x 5x 13
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 2x 3x 5x 5x 23 = 27600
Therefore, the value for common factors is 27600.
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 = 3923521056000/(1x27600)
LCM = 3923521056000/27600
LCM = 142156560
Thus, we can understand that the LCM of 368,283,420,690,130 is 142156560.
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FAQs on LCM of 368, 283, 420, 690, 130
1. What is the LCM of 368, 283, 420, 690, 130?
Answer: LCM of 368, 283, 420, 690, 130 is 142156560.
2. How to calculate the LCM of 368, 283, 420, 690, 130?
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 368, 283, 420, 690, 130.
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}.