Find the LCM of 360, 902, 328, 807 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 360, 902, 328, 807. So, keep reading to learn more.
Given numbers are 360,902,328,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 360,902,328,807 is 43674840.
Find LCM of 360,902,328,807 with Prime Factorization
2 | 360, 902, 328, 807 |
2 | 180, 451, 164, 807 |
2 | 90, 451, 82, 807 |
3 | 45, 451, 41, 807 |
41 | 15, 451, 41, 269 |
15, 11, 1, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 15 x 11 x 1 x 269 = 43674840
Therefore, the lowest common multiple of 360,902,328,807 is 43674840.
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.
360 x 902 x 328 x 807 = 85952085120
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.
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
902 : 1, 2, 11, 22, 41, 82, 451, 902
328 : 1, 2, 4, 8, 41, 82, 164, 328
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,902,328,807, is 1.
Now, the common factors can be found like this.
360:2x 2x 2x 3x 3x 5
902:2x 11x 41
328:2x 2x 2x 41
807:3x 269
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 3x 41 = 1968
Therefore, the value for common factors is 1968.
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 = 85952085120/(1x1968)
LCM = 85952085120/1968
LCM = 43674840
Thus, we can understand that the LCM of 360,902,328,807 is 43674840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 360, 902, 328, 807?
Answer: LCM of 360, 902, 328, 807 is 43674840.
2. How to calculate the LCM of 360, 902, 328, 807?
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 360, 902, 328, 807.
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}.