Find the LCM of 744, 493, 462, 110 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 744, 493, 462, 110. So, keep reading to learn more.
Given numbers are 744,493,462,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,493,462,110 is 141214920.
Find LCM of 744,493,462,110 with Prime Factorization
2 | 744, 493, 462, 110 |
3 | 372, 493, 231, 55 |
11 | 124, 493, 77, 55 |
124, 493, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 124 x 493 x 7 x 5 = 141214920
Therefore, the lowest common multiple of 744,493,462,110 is 141214920.
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.
744 x 493 x 462 x 110 = 18640369440
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.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
493 : 1, 17, 29, 493
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,493,462,110, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
493:17x 29
462:2x 3x 7x 11
110:2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 18640369440/(1x132)
LCM = 18640369440/132
LCM = 141214920
Thus, we can understand that the LCM of 744,493,462,110 is 141214920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 744, 493, 462, 110?
Answer: LCM of 744, 493, 462, 110 is 141214920.
2. How to calculate the LCM of 744, 493, 462, 110?
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 744, 493, 462, 110.
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}.