Find the LCM of 749, 749, 177, 171, 444 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, 749, 177, 171, 444. So, keep reading to learn more.
Given numbers are 749,749,177,171,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,749,177,171,444 is 1118385828.
Find LCM of 749,749,177,171,444 with Prime Factorization
3 | 749, 749, 177, 171, 444 |
7 | 749, 749, 59, 57, 148 |
107 | 107, 107, 59, 57, 148 |
1, 1, 59, 57, 148 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 107 x 1 x 1 x 59 x 57 x 148 = 1118385828
Therefore, the lowest common multiple of 749,749,177,171,444 is 1118385828.
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 749 x 177 x 171 x 444 = 7539038866548
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
749 : 1, 7, 107, 749
177 : 1, 3, 59, 177
171 : 1, 3, 9, 19, 57, 171
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,749,177,171,444, is 1.
Now, the common factors can be found like this.
749:7x 107
749:7x 107
177:3x 59
171:3x 3x 19
444:2x 2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 107 = 6741
Therefore, the value for common factors is 6741.
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 = 7539038866548/(1x6741)
LCM = 7539038866548/6741
LCM = 1118385828
Thus, we can understand that the LCM of 749,749,177,171,444 is 1118385828.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 749, 749, 177, 171, 444?
Answer: LCM of 749, 749, 177, 171, 444 is 1118385828.
2. How to calculate the LCM of 749, 749, 177, 171, 444?
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, 749, 177, 171, 444.
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}.