Find the LCM of 244, 808, 564, 708 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 244, 808, 564, 708. So, keep reading to learn more.
Given numbers are 244,808,564,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 244,808,564,708 is 410026872.
Find LCM of 244,808,564,708 with Prime Factorization
2 | 244, 808, 564, 708 |
2 | 122, 404, 282, 354 |
3 | 61, 202, 141, 177 |
61, 202, 47, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 202 x 47 x 59 = 410026872
Therefore, the lowest common multiple of 244,808,564,708 is 410026872.
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.
244 x 808 x 564 x 708 = 78725159424
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.
244 : 1, 2, 4, 61, 122, 244
808 : 1, 2, 4, 8, 101, 202, 404, 808
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,808,564,708, is 4.
Now, the common factors can be found like this.
244:2x 2x 61
808:2x 2x 2x 101
564:2x 2x 3x 47
708:2x 2x 3x 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 3 = 48
Therefore, the value for common factors is 48.
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 = 78725159424/(4x48)
LCM = 78725159424/192
LCM = 410026872
Thus, we can understand that the LCM of 244,808,564,708 is 410026872.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 244, 808, 564, 708?
Answer: LCM of 244, 808, 564, 708 is 410026872.
2. How to calculate the LCM of 244, 808, 564, 708?
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 244, 808, 564, 708.
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}.