Find the LCM of 248, 346, 955, 690 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 248, 346, 955, 690. So, keep reading to learn more.
Given numbers are 248,346,955,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,346,955,690 is 2827159080.
Find LCM of 248,346,955,690 with Prime Factorization
2 | 248, 346, 955, 690 |
5 | 124, 173, 955, 345 |
124, 173, 191, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 124 x 173 x 191 x 69 = 2827159080
Therefore, the lowest common multiple of 248,346,955,690 is 2827159080.
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.
248 x 346 x 955 x 690 = 56543181600
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
346 : 1, 2, 173, 346
955 : 1, 5, 191, 955
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,346,955,690, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
346:2x 173
955:5x 191
690:2x 3x 5x 23
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 5 = 20
Therefore, the value for common factors is 20.
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 = 56543181600/(1x20)
LCM = 56543181600/20
LCM = 2827159080
Thus, we can understand that the LCM of 248,346,955,690 is 2827159080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 248, 346, 955, 690?
Answer: LCM of 248, 346, 955, 690 is 2827159080.
2. How to calculate the LCM of 248, 346, 955, 690?
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 248, 346, 955, 690.
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}.