LCM of 397, 754, 963, 642, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 754, 963, 642, 377 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 397, 754, 963, 642, 377. So, keep reading to learn more.
Given numbers are 397,754,963,642,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,754,963,642,377 is 288262494.
Find LCM of 397,754,963,642,377 with Prime Factorization
| 2 | 397, 754, 963, 642, 377 |
| 3 | 397, 377, 963, 321, 377 |
| 13 | 397, 377, 107, 321, 377 |
| 29 | 397, 29, 107, 321, 29 |
| 107 | 397, 1, 107, 321, 1 |
| 397, 1, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 107 x 397 x 1 x 1 x 3 x 1 = 288262494
Therefore, the lowest common multiple of 397,754,963,642,377 is 288262494.
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.
397 x 754 x 963 x 642 x 377 = 69769324472796
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.
397 : 1, 397
754 : 1, 2, 13, 26, 29, 58, 377, 754
963 : 1, 3, 9, 107, 321, 963
642 : 1, 2, 3, 6, 107, 214, 321, 642
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,754,963,642,377, is 1.
Now, the common factors can be found like this.
397:397
754:2x 13x 29
963:3x 3x 107
642:2x 3x 107
377:13x 29
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 13x 29x 107 = 242034
Therefore, the value for common factors is 242034.
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 = 69769324472796/(1x242034)
LCM = 69769324472796/242034
LCM = 288262494
Thus, we can understand that the LCM of 397,754,963,642,377 is 288262494.
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FAQs on LCM of 397, 754, 963, 642, 377
1. What is the LCM of 397, 754, 963, 642, 377?
Answer: LCM of 397, 754, 963, 642, 377 is 288262494.
2. How to calculate the LCM of 397, 754, 963, 642, 377?
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 397, 754, 963, 642, 377.
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}.