Find the LCM of 414, 860, 763, 688 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 414, 860, 763, 688. So, keep reading to learn more.
Given numbers are 414,860,763,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,860,763,688 is 543317040.
Find LCM of 414,860,763,688 with Prime Factorization
2 | 414, 860, 763, 688 |
2 | 207, 430, 763, 344 |
43 | 207, 215, 763, 172 |
207, 5, 763, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 207 x 5 x 763 x 4 = 543317040
Therefore, the lowest common multiple of 414,860,763,688 is 543317040.
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.
414 x 860 x 763 x 688 = 186901061760
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
763 : 1, 7, 109, 763
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,860,763,688, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
860:2x 2x 5x 43
763:7x 109
688:2x 2x 2x 2x 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 43 = 344
Therefore, the value for common factors is 344.
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 = 186901061760/(1x344)
LCM = 186901061760/344
LCM = 543317040
Thus, we can understand that the LCM of 414,860,763,688 is 543317040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 414, 860, 763, 688?
Answer: LCM of 414, 860, 763, 688 is 543317040.
2. How to calculate the LCM of 414, 860, 763, 688?
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 414, 860, 763, 688.
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}.