Find the LCM of 741, 611, 353, 947 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 741, 611, 353, 947. So, keep reading to learn more.
Given numbers are 741,611,353,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,611,353,947 is 11642352657.
Find LCM of 741,611,353,947 with Prime Factorization
13 | 741, 611, 353, 947 |
57, 47, 353, 947 |
Multiply the prime numbers at the bottom and the left side.
13 x 57 x 47 x 353 x 947 = 11642352657
Therefore, the lowest common multiple of 741,611,353,947 is 11642352657.
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.
741 x 611 x 353 x 947 = 151350584541
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
611 : 1, 13, 47, 611
353 : 1, 353
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,611,353,947, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
611:13x 47
353:353
947:947
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 = 151350584541/(1x13)
LCM = 151350584541/13
LCM = 11642352657
Thus, we can understand that the LCM of 741,611,353,947 is 11642352657.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 741, 611, 353, 947?
Answer: LCM of 741, 611, 353, 947 is 11642352657.
2. How to calculate the LCM of 741, 611, 353, 947?
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 741, 611, 353, 947.
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}.