LCM of 279, 762, 652, 440, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 762, 652, 440, 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 279, 762, 652, 440, 985. So, keep reading to learn more.
Given numbers are 279,762,652,440,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,762,652,440,985 is 500627187720.
Find LCM of 279,762,652,440,985 with Prime Factorization
| 2 | 279, 762, 652, 440, 985 |
| 2 | 279, 381, 326, 220, 985 |
| 3 | 279, 381, 163, 110, 985 |
| 5 | 93, 127, 163, 110, 985 |
| 93, 127, 163, 22, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 93 x 127 x 163 x 22 x 197 = 500627187720
Therefore, the lowest common multiple of 279,762,652,440,985 is 500627187720.
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.
279 x 762 x 652 x 440 x 985 = 60075262526400
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.
279 : 1, 3, 9, 31, 93, 279
762 : 1, 2, 3, 6, 127, 254, 381, 762
652 : 1, 2, 4, 163, 326, 652
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,762,652,440,985, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
762:2x 3x 127
652:2x 2x 163
440:2x 2x 2x 5x 11
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 60075262526400/(1x120)
LCM = 60075262526400/120
LCM = 500627187720
Thus, we can understand that the LCM of 279,762,652,440,985 is 500627187720.
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FAQs on LCM of 279, 762, 652, 440, 985
1. What is the LCM of 279, 762, 652, 440, 985?
Answer: LCM of 279, 762, 652, 440, 985 is 500627187720.
2. How to calculate the LCM of 279, 762, 652, 440, 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 279, 762, 652, 440, 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}.