Find the LCM of 901, 264, 737, 353 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 901, 264, 737, 353. So, keep reading to learn more.
Given numbers are 901,264,737,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,264,737,353 is 5625721464.
Find LCM of 901,264,737,353 with Prime Factorization
11 | 901, 264, 737, 353 |
901, 24, 67, 353 |
Multiply the prime numbers at the bottom and the left side.
11 x 901 x 24 x 67 x 353 = 5625721464
Therefore, the lowest common multiple of 901,264,737,353 is 5625721464.
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.
901 x 264 x 737 x 353 = 61882936104
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.
901 : 1, 17, 53, 901
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
737 : 1, 11, 67, 737
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,264,737,353, is 1.
Now, the common factors can be found like this.
901:17x 53
264:2x 2x 2x 3x 11
737:11x 67
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 61882936104/(1x11)
LCM = 61882936104/11
LCM = 5625721464
Thus, we can understand that the LCM of 901,264,737,353 is 5625721464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 901, 264, 737, 353?
Answer: LCM of 901, 264, 737, 353 is 5625721464.
2. How to calculate the LCM of 901, 264, 737, 353?
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 901, 264, 737, 353.
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}.