Find the LCM of 708, 314, 236, 367 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 708, 314, 236, 367. So, keep reading to learn more.
Given numbers are 708,314,236,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,314,236,367 is 40794252.
Find LCM of 708,314,236,367 with Prime Factorization
2 | 708, 314, 236, 367 |
2 | 354, 157, 118, 367 |
59 | 177, 157, 59, 367 |
3, 157, 1, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 59 x 3 x 157 x 1 x 367 = 40794252
Therefore, the lowest common multiple of 708,314,236,367 is 40794252.
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.
708 x 314 x 236 x 367 = 19254886944
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
314 : 1, 2, 157, 314
236 : 1, 2, 4, 59, 118, 236
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,314,236,367, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
314:2x 157
236:2x 2x 59
367:367
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 59 = 472
Therefore, the value for common factors is 472.
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 = 19254886944/(1x472)
LCM = 19254886944/472
LCM = 40794252
Thus, we can understand that the LCM of 708,314,236,367 is 40794252.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 708, 314, 236, 367?
Answer: LCM of 708, 314, 236, 367 is 40794252.
2. How to calculate the LCM of 708, 314, 236, 367?
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 708, 314, 236, 367.
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}.