LCM of 861, 646, 714, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 646, 714, 380 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, 646, 714, 380. So, keep reading to learn more.
Given numbers are 861,646,714,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,646,714,380 is 5562060.
Find LCM of 861,646,714,380 with Prime Factorization
| 2 | 861, 646, 714, 380 |
| 3 | 861, 323, 357, 190 |
| 7 | 287, 323, 119, 190 |
| 17 | 41, 323, 17, 190 |
| 19 | 41, 19, 1, 190 |
| 41, 1, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 19 x 41 x 1 x 1 x 10 = 5562060
Therefore, the lowest common multiple of 861,646,714,380 is 5562060.
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 646 x 714 x 380 = 150909811920
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,646,714,380, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
646:2x 17x 19
714:2x 3x 7x 17
380:2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 7x 17x 19 = 27132
Therefore, the value for common factors is 27132.
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 = 150909811920/(1x27132)
LCM = 150909811920/27132
LCM = 5562060
Thus, we can understand that the LCM of 861,646,714,380 is 5562060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 861, 646, 714, 380
1. What is the LCM of 861, 646, 714, 380?
Answer: LCM of 861, 646, 714, 380 is 5562060.
2. How to calculate the LCM of 861, 646, 714, 380?
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, 646, 714, 380.
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}.