Find the LCM of 449, 748, 955, 143 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 449, 748, 955, 143. So, keep reading to learn more.
Given numbers are 449,748,955,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,748,955,143 is 4169602580.
Find LCM of 449,748,955,143 with Prime Factorization
11 | 449, 748, 955, 143 |
449, 68, 955, 13 |
Multiply the prime numbers at the bottom and the left side.
11 x 449 x 68 x 955 x 13 = 4169602580
Therefore, the lowest common multiple of 449,748,955,143 is 4169602580.
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.
449 x 748 x 955 x 143 = 45865628380
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.
449 : 1, 449
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
955 : 1, 5, 191, 955
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,748,955,143, is 1.
Now, the common factors can be found like this.
449:449
748:2x 2x 11x 17
955:5x 191
143:11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 45865628380/(1x11)
LCM = 45865628380/11
LCM = 4169602580
Thus, we can understand that the LCM of 449,748,955,143 is 4169602580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 449, 748, 955, 143?
Answer: LCM of 449, 748, 955, 143 is 4169602580.
2. How to calculate the LCM of 449, 748, 955, 143?
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 449, 748, 955, 143.
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}.