Find the LCM of 604, 159, 724, 117, 874 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 604, 159, 724, 117, 874. So, keep reading to learn more.
Given numbers are 604,159,724,117,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,159,724,117,874 is 296250220188.
Find LCM of 604,159,724,117,874 with Prime Factorization
2 | 604, 159, 724, 117, 874 |
2 | 302, 159, 362, 117, 437 |
3 | 151, 159, 181, 117, 437 |
151, 53, 181, 39, 437 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 151 x 53 x 181 x 39 x 437 = 296250220188
Therefore, the lowest common multiple of 604,159,724,117,874 is 296250220188.
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.
604 x 159 x 724 x 117 x 874 = 7110005284512
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.
604 : 1, 2, 4, 151, 302, 604
159 : 1, 3, 53, 159
724 : 1, 2, 4, 181, 362, 724
117 : 1, 3, 9, 13, 39, 117
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,159,724,117,874, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
159:3x 53
724:2x 2x 181
117:3x 3x 13
874:2x 19x 23
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 7110005284512/(1x24)
LCM = 7110005284512/24
LCM = 296250220188
Thus, we can understand that the LCM of 604,159,724,117,874 is 296250220188.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 604, 159, 724, 117, 874?
Answer: LCM of 604, 159, 724, 117, 874 is 296250220188.
2. How to calculate the LCM of 604, 159, 724, 117, 874?
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 604, 159, 724, 117, 874.
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}.