Find the LCM of 321, 749, 541, 743 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 321, 749, 541, 743. So, keep reading to learn more.
Given numbers are 321,749,541,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,749,541,743 is 903210861.
Find LCM of 321,749,541,743 with Prime Factorization
107 | 321, 749, 541, 743 |
3, 7, 541, 743 |
Multiply the prime numbers at the bottom and the left side.
107 x 3 x 7 x 541 x 743 = 903210861
Therefore, the lowest common multiple of 321,749,541,743 is 903210861.
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.
321 x 749 x 541 x 743 = 96643562127
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.
321 : 1, 3, 107, 321
749 : 1, 7, 107, 749
541 : 1, 541
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,749,541,743, is 1.
Now, the common factors can be found like this.
321:3x 107
749:7x 107
541:541
743:743
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
107 = 107
Therefore, the value for common factors is 107.
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 = 96643562127/(1x107)
LCM = 96643562127/107
LCM = 903210861
Thus, we can understand that the LCM of 321,749,541,743 is 903210861.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 749, 541, 743?
Answer: LCM of 321, 749, 541, 743 is 903210861.
2. How to calculate the LCM of 321, 749, 541, 743?
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 321, 749, 541, 743.
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}.