Find the LCM of 153, 782, 506, 403, 370 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 153, 782, 506, 403, 370. So, keep reading to learn more.
Given numbers are 153,782,506,403,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,782,506,403,370 is 5771898990.
Find LCM of 153,782,506,403,370 with Prime Factorization
2 | 153, 782, 506, 403, 370 |
17 | 153, 391, 253, 403, 185 |
23 | 9, 23, 253, 403, 185 |
9, 1, 11, 403, 185 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 9 x 1 x 11 x 403 x 185 = 5771898990
Therefore, the lowest common multiple of 153,782,506,403,370 is 5771898990.
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.
153 x 782 x 506 x 403 x 370 = 9027250020360
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.
153 : 1, 3, 9, 17, 51, 153
782 : 1, 2, 17, 23, 34, 46, 391, 782
506 : 1, 2, 11, 22, 23, 46, 253, 506
403 : 1, 13, 31, 403
370 : 1, 2, 5, 10, 37, 74, 185, 370
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,782,506,403,370, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
782:2x 17x 23
506:2x 11x 23
403:13x 31
370:2x 5x 37
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 17x 23 = 1564
Therefore, the value for common factors is 1564.
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 = 9027250020360/(1x1564)
LCM = 9027250020360/1564
LCM = 5771898990
Thus, we can understand that the LCM of 153,782,506,403,370 is 5771898990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 153, 782, 506, 403, 370?
Answer: LCM of 153, 782, 506, 403, 370 is 5771898990.
2. How to calculate the LCM of 153, 782, 506, 403, 370?
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 153, 782, 506, 403, 370.
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}.