Find the LCM of 282, 345, 660, 893, 707 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, 345, 660, 893, 707. So, keep reading to learn more.
Given numbers are 282,345,660,893,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,345,660,893,707 is 9583908180.
Find LCM of 282,345,660,893,707 with Prime Factorization
2 | 282, 345, 660, 893, 707 |
3 | 141, 345, 330, 893, 707 |
5 | 47, 115, 110, 893, 707 |
47 | 47, 23, 22, 893, 707 |
1, 23, 22, 19, 707 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 1 x 23 x 22 x 19 x 707 = 9583908180
Therefore, the lowest common multiple of 282,345,660,893,707 is 9583908180.
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 345 x 660 x 893 x 707 = 40539931601400
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
345 : 1, 3, 5, 15, 23, 69, 115, 345
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
893 : 1, 19, 47, 893
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,345,660,893,707, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
345:3x 5x 23
660:2x 2x 3x 5x 11
893:19x 47
707:7x 101
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 3x 5x 47 = 4230
Therefore, the value for common factors is 4230.
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 = 40539931601400/(1x4230)
LCM = 40539931601400/4230
LCM = 9583908180
Thus, we can understand that the LCM of 282,345,660,893,707 is 9583908180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 345, 660, 893, 707?
Answer: LCM of 282, 345, 660, 893, 707 is 9583908180.
2. How to calculate the LCM of 282, 345, 660, 893, 707?
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, 345, 660, 893, 707.
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}.