LCM of 861, 697, 491, 610, 397
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 697, 491, 610, 397 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 861, 697, 491, 610, 397. So, keep reading to learn more.
Given numbers are 861,697,491,610,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,697,491,610,397 is 1740419364390.
Find LCM of 861,697,491,610,397 with Prime Factorization
| 41 | 861, 697, 491, 610, 397 |
| 21, 17, 491, 610, 397 |
Multiply the prime numbers at the bottom and the left side.
41 x 21 x 17 x 491 x 610 x 397 = 1740419364390
Therefore, the lowest common multiple of 861,697,491,610,397 is 1740419364390.
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.
861 x 697 x 491 x 610 x 397 = 71357193939990
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
697 : 1, 17, 41, 697
491 : 1, 491
610 : 1, 2, 5, 10, 61, 122, 305, 610
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,697,491,610,397, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
697:17x 41
491:491
610:2x 5x 61
397:397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41 = 41
Therefore, the value for common factors is 41.
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 = 71357193939990/(1x41)
LCM = 71357193939990/41
LCM = 1740419364390
Thus, we can understand that the LCM of 861,697,491,610,397 is 1740419364390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 861, 697, 491, 610, 397
1. What is the LCM of 861, 697, 491, 610, 397?
Answer: LCM of 861, 697, 491, 610, 397 is 1740419364390.
2. How to calculate the LCM of 861, 697, 491, 610, 397?
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 861, 697, 491, 610, 397.
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}.