LCM of 227, 749, 237, 908, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 749, 237, 908, 402 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 227, 749, 237, 908, 402. So, keep reading to learn more.
Given numbers are 227,749,237,908,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,749,237,908,402 is 10799180868.
Find LCM of 227,749,237,908,402 with Prime Factorization
| 2 | 227, 749, 237, 908, 402 |
| 3 | 227, 749, 237, 454, 201 |
| 227 | 227, 749, 79, 454, 67 |
| 1, 749, 79, 2, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 1 x 749 x 79 x 2 x 67 = 10799180868
Therefore, the lowest common multiple of 227,749,237,908,402 is 10799180868.
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.
227 x 749 x 237 x 908 x 402 = 14708484342216
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.
227 : 1, 227
749 : 1, 7, 107, 749
237 : 1, 3, 79, 237
908 : 1, 2, 4, 227, 454, 908
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,749,237,908,402, is 1.
Now, the common factors can be found like this.
227:227
749:7x 107
237:3x 79
908:2x 2x 227
402:2x 3x 67
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 227 = 1362
Therefore, the value for common factors is 1362.
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 = 14708484342216/(1x1362)
LCM = 14708484342216/1362
LCM = 10799180868
Thus, we can understand that the LCM of 227,749,237,908,402 is 10799180868.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 227, 749, 237, 908, 402
1. What is the LCM of 227, 749, 237, 908, 402?
Answer: LCM of 227, 749, 237, 908, 402 is 10799180868.
2. How to calculate the LCM of 227, 749, 237, 908, 402?
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 227, 749, 237, 908, 402.
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}.