LCM of 555, 714, 587, 422, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 555, 714, 587, 422, 306 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 555, 714, 587, 422, 306. So, keep reading to learn more.
Given numbers are 555,714,587,422,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 555,714,587,422,306 is 49080813390.
Find LCM of 555,714,587,422,306 with Prime Factorization
| 2 | 555, 714, 587, 422, 306 |
| 3 | 555, 357, 587, 211, 153 |
| 17 | 185, 119, 587, 211, 51 |
| 185, 7, 587, 211, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 185 x 7 x 587 x 211 x 3 = 49080813390
Therefore, the lowest common multiple of 555,714,587,422,306 is 49080813390.
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.
555 x 714 x 587 x 422 x 306 = 30037457794680
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.
555 : 1, 3, 5, 15, 37, 111, 185, 555
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
587 : 1, 587
422 : 1, 2, 211, 422
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,714,587,422,306, is 1.
Now, the common factors can be found like this.
555:3x 5x 37
714:2x 3x 7x 17
587:587
422:2x 211
306:2x 3x 3x 17
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 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 30037457794680/(1x612)
LCM = 30037457794680/612
LCM = 49080813390
Thus, we can understand that the LCM of 555,714,587,422,306 is 49080813390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 555, 714, 587, 422, 306
1. What is the LCM of 555, 714, 587, 422, 306?
Answer: LCM of 555, 714, 587, 422, 306 is 49080813390.
2. How to calculate the LCM of 555, 714, 587, 422, 306?
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 555, 714, 587, 422, 306.
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}.