LCM of 552, 600, 758, 556, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 600, 758, 556, 144 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 552, 600, 758, 556, 144. So, keep reading to learn more.
Given numbers are 552,600,758,556,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,600,758,556,144 is 4361986800.
Find LCM of 552,600,758,556,144 with Prime Factorization
| 2 | 552, 600, 758, 556, 144 |
| 2 | 276, 300, 379, 278, 72 |
| 2 | 138, 150, 379, 139, 36 |
| 3 | 69, 75, 379, 139, 18 |
| 23, 25, 379, 139, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 25 x 379 x 139 x 6 = 4361986800
Therefore, the lowest common multiple of 552,600,758,556,144 is 4361986800.
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.
552 x 600 x 758 x 556 x 144 = 20100035174400
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
758 : 1, 2, 379, 758
556 : 1, 2, 4, 139, 278, 556
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,600,758,556,144, is 2.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
600:2x 2x 2x 3x 5x 5
758:2x 379
556:2x 2x 139
144:2x 2x 2x 2x 3x 3
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 2x 2x 2x 2x 2x 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 20100035174400/(2x2304)
LCM = 20100035174400/4608
LCM = 4361986800
Thus, we can understand that the LCM of 552,600,758,556,144 is 4361986800.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 552, 600, 758, 556, 144
1. What is the LCM of 552, 600, 758, 556, 144?
Answer: LCM of 552, 600, 758, 556, 144 is 4361986800.
2. How to calculate the LCM of 552, 600, 758, 556, 144?
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 552, 600, 758, 556, 144.
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}.