LCM of 266, 587, 520, 420, 604
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 587, 520, 420, 604 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 266, 587, 520, 420, 604. So, keep reading to learn more.
Given numbers are 266,587,520,420,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,587,520,420,604 is 18390404760.
Find LCM of 266,587,520,420,604 with Prime Factorization
| 2 | 266, 587, 520, 420, 604 |
| 2 | 133, 587, 260, 210, 302 |
| 5 | 133, 587, 130, 105, 151 |
| 7 | 133, 587, 26, 21, 151 |
| 19, 587, 26, 3, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 19 x 587 x 26 x 3 x 151 = 18390404760
Therefore, the lowest common multiple of 266,587,520,420,604 is 18390404760.
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.
266 x 587 x 520 x 420 x 604 = 20597253331200
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
587 : 1, 587
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
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
604 : 1, 2, 4, 151, 302, 604
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,587,520,420,604, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
587:587
520:2x 2x 2x 5x 13
420:2x 2x 3x 5x 7
604:2x 2x 151
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 5x 7 = 1120
Therefore, the value for common factors is 1120.
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 = 20597253331200/(1x1120)
LCM = 20597253331200/1120
LCM = 18390404760
Thus, we can understand that the LCM of 266,587,520,420,604 is 18390404760.
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FAQs on LCM of 266, 587, 520, 420, 604
1. What is the LCM of 266, 587, 520, 420, 604?
Answer: LCM of 266, 587, 520, 420, 604 is 18390404760.
2. How to calculate the LCM of 266, 587, 520, 420, 604?
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 266, 587, 520, 420, 604.
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}.