LCM of 427, 247, 689, 153, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 427, 247, 689, 153, 629 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 427, 247, 689, 153, 629. So, keep reading to learn more.
Given numbers are 427,247,689,153,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 427,247,689,153,629 is 31644180477.
Find LCM of 427,247,689,153,629 with Prime Factorization
| 13 | 427, 247, 689, 153, 629 |
| 17 | 427, 19, 53, 153, 629 |
| 427, 19, 53, 9, 37 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 427 x 19 x 53 x 9 x 37 = 31644180477
Therefore, the lowest common multiple of 427,247,689,153,629 is 31644180477.
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.
427 x 247 x 689 x 153 x 629 = 6993363885417
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.
427 : 1, 7, 61, 427
247 : 1, 13, 19, 247
689 : 1, 13, 53, 689
153 : 1, 3, 9, 17, 51, 153
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,247,689,153,629, is 1.
Now, the common factors can be found like this.
427:7x 61
247:13x 19
689:13x 53
153:3x 3x 17
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 6993363885417/(1x221)
LCM = 6993363885417/221
LCM = 31644180477
Thus, we can understand that the LCM of 427,247,689,153,629 is 31644180477.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 427, 247, 689, 153, 629
1. What is the LCM of 427, 247, 689, 153, 629?
Answer: LCM of 427, 247, 689, 153, 629 is 31644180477.
2. How to calculate the LCM of 427, 247, 689, 153, 629?
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 427, 247, 689, 153, 629.
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}.