LCM of 280, 767, 130, 476, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 767, 130, 476, 646 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 280, 767, 130, 476, 646. So, keep reading to learn more.
Given numbers are 280,767,130,476,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,767,130,476,646 is 69367480.
Find LCM of 280,767,130,476,646 with Prime Factorization
| 2 | 280, 767, 130, 476, 646 |
| 2 | 140, 767, 65, 238, 323 |
| 5 | 70, 767, 65, 119, 323 |
| 7 | 14, 767, 13, 119, 323 |
| 13 | 2, 767, 13, 17, 323 |
| 17 | 2, 59, 1, 17, 323 |
| 2, 59, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 17 x 2 x 59 x 1 x 1 x 19 = 69367480
Therefore, the lowest common multiple of 280,767,130,476,646 is 69367480.
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.
280 x 767 x 130 x 476 x 646 = 8584919324800
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
767 : 1, 13, 59, 767
130 : 1, 2, 5, 10, 13, 26, 65, 130
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,767,130,476,646, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
767:13x 59
130:2x 5x 13
476:2x 2x 7x 17
646:2x 17x 19
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 5x 7x 13x 17 = 123760
Therefore, the value for common factors is 123760.
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 = 8584919324800/(1x123760)
LCM = 8584919324800/123760
LCM = 69367480
Thus, we can understand that the LCM of 280,767,130,476,646 is 69367480.
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FAQs on LCM of 280, 767, 130, 476, 646
1. What is the LCM of 280, 767, 130, 476, 646?
Answer: LCM of 280, 767, 130, 476, 646 is 69367480.
2. How to calculate the LCM of 280, 767, 130, 476, 646?
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 280, 767, 130, 476, 646.
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}.