Find the LCM of 139, 118, 717, 674, 221 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 139, 118, 717, 674, 221. So, keep reading to learn more.
Given numbers are 139,118,717,674,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,118,717,674,221 is 875866947618.
Find LCM of 139,118,717,674,221 with Prime Factorization
2 | 139, 118, 717, 674, 221 |
139, 59, 717, 337, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 139 x 59 x 717 x 337 x 221 = 875866947618
Therefore, the lowest common multiple of 139,118,717,674,221 is 875866947618.
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.
139 x 118 x 717 x 674 x 221 = 1751733895236
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.
139 : 1, 139
118 : 1, 2, 59, 118
717 : 1, 3, 239, 717
674 : 1, 2, 337, 674
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,118,717,674,221, is 1.
Now, the common factors can be found like this.
139:139
118:2x 59
717:3x 239
674:2x 337
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 1751733895236/(1x2)
LCM = 1751733895236/2
LCM = 875866947618
Thus, we can understand that the LCM of 139,118,717,674,221 is 875866947618.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 139, 118, 717, 674, 221?
Answer: LCM of 139, 118, 717, 674, 221 is 875866947618.
2. How to calculate the LCM of 139, 118, 717, 674, 221?
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 139, 118, 717, 674, 221.
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}.