Find the LCM of 901, 931, 266, 537, 919 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, 931, 266, 537, 919. So, keep reading to learn more.
Given numbers are 901,931,266,537,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,931,266,537,919 is 827931229986.
Find LCM of 901,931,266,537,919 with Prime Factorization
7 | 901, 931, 266, 537, 919 |
19 | 901, 133, 38, 537, 919 |
901, 7, 2, 537, 919 |
Multiply the prime numbers at the bottom and the left side.
7 x 19 x 901 x 7 x 2 x 537 x 919 = 827931229986
Therefore, the lowest common multiple of 901,931,266,537,919 is 827931229986.
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 931 x 266 x 537 x 919 = 110114853588138
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
931 : 1, 7, 19, 49, 133, 931
266 : 1, 2, 7, 14, 19, 38, 133, 266
537 : 1, 3, 179, 537
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,931,266,537,919, is 1.
Now, the common factors can be found like this.
901:17x 53
931:7x 7x 19
266:2x 7x 19
537:3x 179
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 19 = 133
Therefore, the value for common factors is 133.
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 = 110114853588138/(1x133)
LCM = 110114853588138/133
LCM = 827931229986
Thus, we can understand that the LCM of 901,931,266,537,919 is 827931229986.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 901, 931, 266, 537, 919?
Answer: LCM of 901, 931, 266, 537, 919 is 827931229986.
2. How to calculate the LCM of 901, 931, 266, 537, 919?
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, 931, 266, 537, 919.
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}.