Find the LCM of 902, 832, 961, 668, 526 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 902, 832, 961, 668, 526. So, keep reading to learn more.
Given numbers are 902,832,961,668,526
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,832,961,668,526 is 15837822649792.
Find LCM of 902,832,961,668,526 with Prime Factorization
2 | 902, 832, 961, 668, 526 |
2 | 451, 416, 961, 334, 263 |
451, 208, 961, 167, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 451 x 208 x 961 x 167 x 263 = 15837822649792
Therefore, the lowest common multiple of 902,832,961,668,526 is 15837822649792.
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.
902 x 832 x 961 x 668 x 526 = 253405162396672
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
961 : 1, 31, 961
668 : 1, 2, 4, 167, 334, 668
526 : 1, 2, 263, 526
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,832,961,668,526, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
832:2x 2x 2x 2x 2x 2x 13
961:31x 31
668:2x 2x 167
526:2x 263
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 2 = 16
Therefore, the value for common factors is 16.
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 = 253405162396672/(1x16)
LCM = 253405162396672/16
LCM = 15837822649792
Thus, we can understand that the LCM of 902,832,961,668,526 is 15837822649792.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 832, 961, 668, 526?
Answer: LCM of 902, 832, 961, 668, 526 is 15837822649792.
2. How to calculate the LCM of 902, 832, 961, 668, 526?
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 902, 832, 961, 668, 526.
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}.