LCM of 649, 952, 697, 238, 381
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 952, 697, 238, 381 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 649, 952, 697, 238, 381. So, keep reading to learn more.
Given numbers are 649,952,697,238,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,952,697,238,381 is 9651403608.
Find LCM of 649,952,697,238,381 with Prime Factorization
| 2 | 649, 952, 697, 238, 381 |
| 7 | 649, 476, 697, 119, 381 |
| 17 | 649, 68, 697, 17, 381 |
| 649, 4, 41, 1, 381 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 649 x 4 x 41 x 1 x 381 = 9651403608
Therefore, the lowest common multiple of 649,952,697,238,381 is 9651403608.
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.
649 x 952 x 697 x 238 x 381 = 39049578997968
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.
649 : 1, 11, 59, 649
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
697 : 1, 17, 41, 697
238 : 1, 2, 7, 14, 17, 34, 119, 238
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,952,697,238,381, is 1.
Now, the common factors can be found like this.
649:11x 59
952:2x 2x 2x 7x 17
697:17x 41
238:2x 7x 17
381:3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17x 17 = 4046
Therefore, the value for common factors is 4046.
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 = 39049578997968/(1x4046)
LCM = 39049578997968/4046
LCM = 9651403608
Thus, we can understand that the LCM of 649,952,697,238,381 is 9651403608.
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FAQs on LCM of 649, 952, 697, 238, 381
1. What is the LCM of 649, 952, 697, 238, 381?
Answer: LCM of 649, 952, 697, 238, 381 is 9651403608.
2. How to calculate the LCM of 649, 952, 697, 238, 381?
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 649, 952, 697, 238, 381.
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}.