Find the LCM of 282, 759, 572, 660 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 282, 759, 572, 660. So, keep reading to learn more.
Given numbers are 282,759,572,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,759,572,660 is 9274980.
Find LCM of 282,759,572,660 with Prime Factorization
2 | 282, 759, 572, 660 |
2 | 141, 759, 286, 330 |
3 | 141, 759, 143, 165 |
11 | 47, 253, 143, 55 |
47, 23, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 47 x 23 x 13 x 5 = 9274980
Therefore, the lowest common multiple of 282,759,572,660 is 9274980.
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.
282 x 759 x 572 x 660 = 80803625760
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
759 : 1, 3, 11, 23, 33, 69, 253, 759
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,759,572,660, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
759:3x 11x 23
572:2x 2x 11x 13
660:2x 2x 3x 5x 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 2x 3x 3x 11x 11 = 8712
Therefore, the value for common factors is 8712.
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 = 80803625760/(1x8712)
LCM = 80803625760/8712
LCM = 9274980
Thus, we can understand that the LCM of 282,759,572,660 is 9274980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 759, 572, 660?
Answer: LCM of 282, 759, 572, 660 is 9274980.
2. How to calculate the LCM of 282, 759, 572, 660?
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 282, 759, 572, 660.
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}.