LCM of 552, 650, 633, 663, 158
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 650, 633, 663, 158 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, 650, 633, 663, 158. So, keep reading to learn more.
Given numbers are 552,650,633,663,158
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,650,633,663,158 is 50837116200.
Find LCM of 552,650,633,663,158 with Prime Factorization
| 2 | 552, 650, 633, 663, 158 |
| 3 | 276, 325, 633, 663, 79 |
| 13 | 92, 325, 211, 221, 79 |
| 92, 25, 211, 17, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 92 x 25 x 211 x 17 x 79 = 50837116200
Therefore, the lowest common multiple of 552,650,633,663,158 is 50837116200.
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 650 x 633 x 663 x 158 = 23791770381600
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
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
633 : 1, 3, 211, 633
663 : 1, 3, 13, 17, 39, 51, 221, 663
158 : 1, 2, 79, 158
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,650,633,663,158, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
650:2x 5x 5x 13
633:3x 211
663:3x 13x 17
158:2x 79
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 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 23791770381600/(1x468)
LCM = 23791770381600/468
LCM = 50837116200
Thus, we can understand that the LCM of 552,650,633,663,158 is 50837116200.
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, 650, 633, 663, 158
1. What is the LCM of 552, 650, 633, 663, 158?
Answer: LCM of 552, 650, 633, 663, 158 is 50837116200.
2. How to calculate the LCM of 552, 650, 633, 663, 158?
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, 650, 633, 663, 158.
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}.