Find the LCM of 659, 541, 149, 209, 298 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 659, 541, 149, 209, 298. So, keep reading to learn more.
Given numbers are 659,541,149,209,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,541,149,209,298 is 22204716358.
Find LCM of 659,541,149,209,298 with Prime Factorization
149 | 659, 541, 149, 209, 298 |
659, 541, 1, 209, 2 |
Multiply the prime numbers at the bottom and the left side.
149 x 659 x 541 x 1 x 209 x 2 = 22204716358
Therefore, the lowest common multiple of 659,541,149,209,298 is 22204716358.
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.
659 x 541 x 149 x 209 x 298 = 3308502737342
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.
659 : 1, 659
541 : 1, 541
149 : 1, 149
209 : 1, 11, 19, 209
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,541,149,209,298, is 1.
Now, the common factors can be found like this.
659:659
541:541
149:149
209:11x 19
298:2x 149
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 = 3308502737342/(1x149)
LCM = 3308502737342/149
LCM = 22204716358
Thus, we can understand that the LCM of 659,541,149,209,298 is 22204716358.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 659, 541, 149, 209, 298?
Answer: LCM of 659, 541, 149, 209, 298 is 22204716358.
2. How to calculate the LCM of 659, 541, 149, 209, 298?
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 659, 541, 149, 209, 298.
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}.