Find the LCM of 224, 604, 133, 708, 236 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 224, 604, 133, 708, 236. So, keep reading to learn more.
Given numbers are 224,604,133,708,236
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,604,133,708,236 is 113750112.
Find LCM of 224,604,133,708,236 with Prime Factorization
2 | 224, 604, 133, 708, 236 |
2 | 112, 302, 133, 354, 118 |
7 | 56, 151, 133, 177, 59 |
59 | 8, 151, 19, 177, 59 |
8, 151, 19, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 59 x 8 x 151 x 19 x 3 x 1 = 113750112
Therefore, the lowest common multiple of 224,604,133,708,236 is 113750112.
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.
224 x 604 x 133 x 708 x 236 = 3006642960384
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
604 : 1, 2, 4, 151, 302, 604
133 : 1, 7, 19, 133
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
236 : 1, 2, 4, 59, 118, 236
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,604,133,708,236, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
604:2x 2x 151
133:7x 19
708:2x 2x 3x 59
236:2x 2x 59
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 2x 2x 2x 7x 59 = 26432
Therefore, the value for common factors is 26432.
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 = 3006642960384/(1x26432)
LCM = 3006642960384/26432
LCM = 113750112
Thus, we can understand that the LCM of 224,604,133,708,236 is 113750112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 224, 604, 133, 708, 236?
Answer: LCM of 224, 604, 133, 708, 236 is 113750112.
2. How to calculate the LCM of 224, 604, 133, 708, 236?
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 224, 604, 133, 708, 236.
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}.