Find the LCM of 118, 649, 523 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 118, 649, 523. So, keep reading to learn more.
Given numbers are 118,649,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,649,523 is 678854.
Find LCM of 118,649,523 with Prime Factorization
59 | 118, 649, 523 |
2, 11, 523 |
Multiply the prime numbers at the bottom and the left side.
59 x 2 x 11 x 523 = 678854
Therefore, the lowest common multiple of 118,649,523 is 678854.
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.
118 x 649 x 523 = 40052386
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.
118 : 1, 2, 59, 118
649 : 1, 11, 59, 649
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,649,523, is 1.
Now, the common factors can be found like this.
118:2x 59
649:11x 59
523:523
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
59 = 59
Therefore, the value for common factors is 59.
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 = 40052386/(1x59)
LCM = 40052386/59
LCM = 678854
Thus, we can understand that the LCM of 118,649,523 is 678854.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 118, 649, 523?
Answer: LCM of 118, 649, 523 is 678854.
2. How to calculate the LCM of 118, 649, 523?
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 118, 649, 523.
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}.