LCM of 967, 420, 645, 583, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 420, 645, 583, 668 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 967, 420, 645, 583, 668. So, keep reading to learn more.
Given numbers are 967,420,645,583,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,420,645,583,668 is 1700314451220.
Find LCM of 967,420,645,583,668 with Prime Factorization
| 2 | 967, 420, 645, 583, 668 |
| 2 | 967, 210, 645, 583, 334 |
| 3 | 967, 105, 645, 583, 167 |
| 5 | 967, 35, 215, 583, 167 |
| 967, 7, 43, 583, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 967 x 7 x 43 x 583 x 167 = 1700314451220
Therefore, the lowest common multiple of 967,420,645,583,668 is 1700314451220.
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.
967 x 420 x 645 x 583 x 668 = 102018867073200
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.
967 : 1, 967
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
645 : 1, 3, 5, 15, 43, 129, 215, 645
583 : 1, 11, 53, 583
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,420,645,583,668, is 1.
Now, the common factors can be found like this.
967:967
420:2x 2x 3x 5x 7
645:3x 5x 43
583:11x 53
668:2x 2x 167
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 102018867073200/(1x60)
LCM = 102018867073200/60
LCM = 1700314451220
Thus, we can understand that the LCM of 967,420,645,583,668 is 1700314451220.
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FAQs on LCM of 967, 420, 645, 583, 668
1. What is the LCM of 967, 420, 645, 583, 668?
Answer: LCM of 967, 420, 645, 583, 668 is 1700314451220.
2. How to calculate the LCM of 967, 420, 645, 583, 668?
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 967, 420, 645, 583, 668.
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}.