LCM of 862, 431, 766, 548, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 862, 431, 766, 548, 684 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 862, 431, 766, 548, 684. So, keep reading to learn more.
Given numbers are 862,431,766,548,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 862,431,766,548,684 is 15468660684.
Find LCM of 862,431,766,548,684 with Prime Factorization
| 2 | 862, 431, 766, 548, 684 |
| 2 | 431, 431, 383, 274, 342 |
| 431 | 431, 431, 383, 137, 171 |
| 1, 1, 383, 137, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 431 x 1 x 1 x 383 x 137 x 171 = 15468660684
Therefore, the lowest common multiple of 862,431,766,548,684 is 15468660684.
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.
862 x 431 x 766 x 548 x 684 = 106671884076864
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.
862 : 1, 2, 431, 862
431 : 1, 431
766 : 1, 2, 383, 766
548 : 1, 2, 4, 137, 274, 548
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,431,766,548,684, is 1.
Now, the common factors can be found like this.
862:2x 431
431:431
766:2x 383
548:2x 2x 137
684:2x 2x 3x 3x 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 2x 2x 431 = 6896
Therefore, the value for common factors is 6896.
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 = 106671884076864/(1x6896)
LCM = 106671884076864/6896
LCM = 15468660684
Thus, we can understand that the LCM of 862,431,766,548,684 is 15468660684.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 862, 431, 766, 548, 684
1. What is the LCM of 862, 431, 766, 548, 684?
Answer: LCM of 862, 431, 766, 548, 684 is 15468660684.
2. How to calculate the LCM of 862, 431, 766, 548, 684?
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 862, 431, 766, 548, 684.
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}.