Find the LCM of 466, 740, 969, 555 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 466, 740, 969, 555. So, keep reading to learn more.
Given numbers are 466,740,969,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,740,969,555 is 167074980.
Find LCM of 466,740,969,555 with Prime Factorization
2 | 466, 740, 969, 555 |
3 | 233, 370, 969, 555 |
5 | 233, 370, 323, 185 |
37 | 233, 74, 323, 37 |
233, 2, 323, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 37 x 233 x 2 x 323 x 1 = 167074980
Therefore, the lowest common multiple of 466,740,969,555 is 167074980.
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.
466 x 740 x 969 x 555 = 185453227800
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.
466 : 1, 2, 233, 466
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
969 : 1, 3, 17, 19, 51, 57, 323, 969
555 : 1, 3, 5, 15, 37, 111, 185, 555
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,740,969,555, is 1.
Now, the common factors can be found like this.
466:2x 233
740:2x 2x 5x 37
969:3x 17x 19
555:3x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 37 = 1110
Therefore, the value for common factors is 1110.
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 = 185453227800/(1x1110)
LCM = 185453227800/1110
LCM = 167074980
Thus, we can understand that the LCM of 466,740,969,555 is 167074980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 466, 740, 969, 555?
Answer: LCM of 466, 740, 969, 555 is 167074980.
2. How to calculate the LCM of 466, 740, 969, 555?
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 466, 740, 969, 555.
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}.