Find the LCM of 749, 926, 325, 943, 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 749, 926, 325, 943, 143. So, keep reading to learn more.
Given numbers are 749,926,325,943,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,926,325,943,143 is 2338194008150.
Find LCM of 749,926,325,943,143 with Prime Factorization
13 | 749, 926, 325, 943, 143 |
749, 926, 25, 943, 11 |
Multiply the prime numbers at the bottom and the left side.
13 x 749 x 926 x 25 x 943 x 11 = 2338194008150
Therefore, the lowest common multiple of 749,926,325,943,143 is 2338194008150.
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.
749 x 926 x 325 x 943 x 143 = 30396522105950
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.
749 : 1, 7, 107, 749
926 : 1, 2, 463, 926
325 : 1, 5, 13, 25, 65, 325
943 : 1, 23, 41, 943
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,926,325,943,143, is 1.
Now, the common factors can be found like this.
749:7x 107
926:2x 463
325:5x 5x 13
943:23x 41
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.
13 = 13
Therefore, the value for common factors is 13.
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 = 30396522105950/(1x13)
LCM = 30396522105950/13
LCM = 2338194008150
Thus, we can understand that the LCM of 749,926,325,943,143 is 2338194008150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 749, 926, 325, 943, 143?
Answer: LCM of 749, 926, 325, 943, 143 is 2338194008150.
2. How to calculate the LCM of 749, 926, 325, 943, 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 749, 926, 325, 943, 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}.