Find the LCM of 328, 973, 501, 955, 370 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 328, 973, 501, 955, 370. So, keep reading to learn more.
Given numbers are 328,973,501,955,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,973,501,955,370 is 5649753573240.
Find LCM of 328,973,501,955,370 with Prime Factorization
2 | 328, 973, 501, 955, 370 |
5 | 164, 973, 501, 955, 185 |
164, 973, 501, 191, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 164 x 973 x 501 x 191 x 37 = 5649753573240
Therefore, the lowest common multiple of 328,973,501,955,370 is 5649753573240.
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.
328 x 973 x 501 x 955 x 370 = 56497535732400
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
973 : 1, 7, 139, 973
501 : 1, 3, 167, 501
955 : 1, 5, 191, 955
370 : 1, 2, 5, 10, 37, 74, 185, 370
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,973,501,955,370, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
973:7x 139
501:3x 167
955:5x 191
370:2x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 56497535732400/(1x10)
LCM = 56497535732400/10
LCM = 5649753573240
Thus, we can understand that the LCM of 328,973,501,955,370 is 5649753573240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 973, 501, 955, 370?
Answer: LCM of 328, 973, 501, 955, 370 is 5649753573240.
2. How to calculate the LCM of 328, 973, 501, 955, 370?
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 328, 973, 501, 955, 370.
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}.