Find the LCM of 919, 688, 473, 464, 860 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 919, 688, 473, 464, 860. So, keep reading to learn more.
Given numbers are 919,688,473,464,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,688,473,464,860 is 1008473840.
Find LCM of 919,688,473,464,860 with Prime Factorization
2 | 919, 688, 473, 464, 860 |
2 | 919, 344, 473, 232, 430 |
2 | 919, 172, 473, 116, 215 |
2 | 919, 86, 473, 58, 215 |
43 | 919, 43, 473, 29, 215 |
919, 1, 11, 29, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 43 x 919 x 1 x 11 x 29 x 5 = 1008473840
Therefore, the lowest common multiple of 919,688,473,464,860 is 1008473840.
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.
919 x 688 x 473 x 464 x 860 = 119338760330240
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.
919 : 1, 919
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
473 : 1, 11, 43, 473
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,688,473,464,860, is 1.
Now, the common factors can be found like this.
919:919
688:2x 2x 2x 2x 43
473:11x 43
464:2x 2x 2x 2x 29
860:2x 2x 5x 43
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 2x 2x 43x 43 = 118336
Therefore, the value for common factors is 118336.
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 = 119338760330240/(1x118336)
LCM = 119338760330240/118336
LCM = 1008473840
Thus, we can understand that the LCM of 919,688,473,464,860 is 1008473840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 919, 688, 473, 464, 860?
Answer: LCM of 919, 688, 473, 464, 860 is 1008473840.
2. How to calculate the LCM of 919, 688, 473, 464, 860?
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 919, 688, 473, 464, 860.
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}.