LCM of 487, 578, 109, 714, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 578, 109, 714, 987 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 487, 578, 109, 714, 987. So, keep reading to learn more.
Given numbers are 487,578,109,714,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,578,109,714,987 is 30283108338.
Find LCM of 487,578,109,714,987 with Prime Factorization
| 2 | 487, 578, 109, 714, 987 |
| 3 | 487, 289, 109, 357, 987 |
| 7 | 487, 289, 109, 119, 329 |
| 17 | 487, 289, 109, 17, 47 |
| 487, 1, 109, 17, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 487 x 1 x 109 x 17 x 47 = 30283108338
Therefore, the lowest common multiple of 487,578,109,714,987 is 30283108338.
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.
487 x 578 x 109 x 714 x 987 = 21622139353332
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.
487 : 1, 487
578 : 1, 2, 17, 34, 289, 578
109 : 1, 109
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,578,109,714,987, is 1.
Now, the common factors can be found like this.
487:487
578:2x 17x 17
109:109
714:2x 3x 7x 17
987:3x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 17 = 714
Therefore, the value for common factors is 714.
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 = 21622139353332/(1x714)
LCM = 21622139353332/714
LCM = 30283108338
Thus, we can understand that the LCM of 487,578,109,714,987 is 30283108338.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 487, 578, 109, 714, 987
1. What is the LCM of 487, 578, 109, 714, 987?
Answer: LCM of 487, 578, 109, 714, 987 is 30283108338.
2. How to calculate the LCM of 487, 578, 109, 714, 987?
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 487, 578, 109, 714, 987.
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}.