LCM of 967, 584, 240, 520, 499
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 584, 240, 520, 499 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, 584, 240, 520, 499. So, keep reading to learn more.
Given numbers are 967,584,240,520,499
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,584,240,520,499 is 109901716080.
Find LCM of 967,584,240,520,499 with Prime Factorization
| 2 | 967, 584, 240, 520, 499 |
| 2 | 967, 292, 120, 260, 499 |
| 2 | 967, 146, 60, 130, 499 |
| 5 | 967, 73, 30, 65, 499 |
| 967, 73, 6, 13, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 967 x 73 x 6 x 13 x 499 = 109901716080
Therefore, the lowest common multiple of 967,584,240,520,499 is 109901716080.
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 584 x 240 x 520 x 499 = 35168549145600
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
584 : 1, 2, 4, 8, 73, 146, 292, 584
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
499 : 1, 499
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,584,240,520,499, is 1.
Now, the common factors can be found like this.
967:967
584:2x 2x 2x 73
240:2x 2x 2x 2x 3x 5
520:2x 2x 2x 5x 13
499:499
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 2x 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 35168549145600/(1x320)
LCM = 35168549145600/320
LCM = 109901716080
Thus, we can understand that the LCM of 967,584,240,520,499 is 109901716080.
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FAQs on LCM of 967, 584, 240, 520, 499
1. What is the LCM of 967, 584, 240, 520, 499?
Answer: LCM of 967, 584, 240, 520, 499 is 109901716080.
2. How to calculate the LCM of 967, 584, 240, 520, 499?
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, 584, 240, 520, 499.
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}.