LCM of 855, 240, 247, 752, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 240, 247, 752, 985 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 855, 240, 247, 752, 985. So, keep reading to learn more.
Given numbers are 855,240,247,752,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,240,247,752,985 is 1646620560.
Find LCM of 855,240,247,752,985 with Prime Factorization
| 2 | 855, 240, 247, 752, 985 |
| 2 | 855, 120, 247, 376, 985 |
| 2 | 855, 60, 247, 188, 985 |
| 2 | 855, 30, 247, 94, 985 |
| 3 | 855, 15, 247, 47, 985 |
| 5 | 285, 5, 247, 47, 985 |
| 19 | 57, 1, 247, 47, 197 |
| 3, 1, 13, 47, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 19 x 3 x 1 x 13 x 47 x 197 = 1646620560
Therefore, the lowest common multiple of 855,240,247,752,985 is 1646620560.
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.
855 x 240 x 247 x 752 x 985 = 37542948768000
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
247 : 1, 13, 19, 247
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,240,247,752,985, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
240:2x 2x 2x 2x 3x 5
247:13x 19
752:2x 2x 2x 2x 47
985:5x 197
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 3x 5x 5x 19 = 22800
Therefore, the value for common factors is 22800.
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 = 37542948768000/(1x22800)
LCM = 37542948768000/22800
LCM = 1646620560
Thus, we can understand that the LCM of 855,240,247,752,985 is 1646620560.
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FAQs on LCM of 855, 240, 247, 752, 985
1. What is the LCM of 855, 240, 247, 752, 985?
Answer: LCM of 855, 240, 247, 752, 985 is 1646620560.
2. How to calculate the LCM of 855, 240, 247, 752, 985?
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 855, 240, 247, 752, 985.
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}.