Find the LCM of 149, 221, 655, 596, 887 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 149, 221, 655, 596, 887. So, keep reading to learn more.
Given numbers are 149,221,655,596,887
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 149,221,655,596,887 is 76525020260.
Find LCM of 149,221,655,596,887 with Prime Factorization
149 | 149, 221, 655, 596, 887 |
1, 221, 655, 4, 887 |
Multiply the prime numbers at the bottom and the left side.
149 x 1 x 221 x 655 x 4 x 887 = 76525020260
Therefore, the lowest common multiple of 149,221,655,596,887 is 76525020260.
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.
149 x 221 x 655 x 596 x 887 = 11402228018740
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.
149 : 1, 149
221 : 1, 13, 17, 221
655 : 1, 5, 131, 655
596 : 1, 2, 4, 149, 298, 596
887 : 1, 887
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,221,655,596,887, is 1.
Now, the common factors can be found like this.
149:149
221:13x 17
655:5x 131
596:2x 2x 149
887:887
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
149 = 149
Therefore, the value for common factors is 149.
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 = 11402228018740/(1x149)
LCM = 11402228018740/149
LCM = 76525020260
Thus, we can understand that the LCM of 149,221,655,596,887 is 76525020260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 149, 221, 655, 596, 887?
Answer: LCM of 149, 221, 655, 596, 887 is 76525020260.
2. How to calculate the LCM of 149, 221, 655, 596, 887?
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 149, 221, 655, 596, 887.
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}.