LCM of 279, 631, 527, 260, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 631, 527, 260, 132 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, 631, 527, 260, 132. So, keep reading to learn more.
Given numbers are 279,631,527,260,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,631,527,260,132 is 8559502380.
Find LCM of 279,631,527,260,132 with Prime Factorization
| 2 | 279, 631, 527, 260, 132 |
| 2 | 279, 631, 527, 130, 66 |
| 3 | 279, 631, 527, 65, 33 |
| 31 | 93, 631, 527, 65, 11 |
| 3, 631, 17, 65, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 3 x 631 x 17 x 65 x 11 = 8559502380
Therefore, the lowest common multiple of 279,631,527,260,132 is 8559502380.
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 631 x 527 x 260 x 132 = 3184134885360
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
631 : 1, 631
527 : 1, 17, 31, 527
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,631,527,260,132, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
631:631
527:17x 31
260:2x 2x 5x 13
132:2x 2x 3x 11
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 31 = 372
Therefore, the value for common factors is 372.
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 = 3184134885360/(1x372)
LCM = 3184134885360/372
LCM = 8559502380
Thus, we can understand that the LCM of 279,631,527,260,132 is 8559502380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 279, 631, 527, 260, 132
1. What is the LCM of 279, 631, 527, 260, 132?
Answer: LCM of 279, 631, 527, 260, 132 is 8559502380.
2. How to calculate the LCM of 279, 631, 527, 260, 132?
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, 631, 527, 260, 132.
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}.