Find the LCM of 884, 357, 902, 572, 508 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 884, 357, 902, 572, 508. So, keep reading to learn more.
Given numbers are 884,357,902,572,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,357,902,572,508 is 1063290228.
Find LCM of 884,357,902,572,508 with Prime Factorization
2 | 884, 357, 902, 572, 508 |
2 | 442, 357, 451, 286, 254 |
11 | 221, 357, 451, 143, 127 |
13 | 221, 357, 41, 13, 127 |
17 | 17, 357, 41, 1, 127 |
1, 21, 41, 1, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 17 x 1 x 21 x 41 x 1 x 127 = 1063290228
Therefore, the lowest common multiple of 884,357,902,572,508 is 1063290228.
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.
884 x 357 x 902 x 572 x 508 = 82715473416576
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
357 : 1, 3, 7, 17, 21, 51, 119, 357
902 : 1, 2, 11, 22, 41, 82, 451, 902
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,357,902,572,508, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
357:3x 7x 17
902:2x 11x 41
572:2x 2x 11x 13
508:2x 2x 127
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 2x 11x 13x 17 = 77792
Therefore, the value for common factors is 77792.
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 = 82715473416576/(1x77792)
LCM = 82715473416576/77792
LCM = 1063290228
Thus, we can understand that the LCM of 884,357,902,572,508 is 1063290228.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 884, 357, 902, 572, 508?
Answer: LCM of 884, 357, 902, 572, 508 is 1063290228.
2. How to calculate the LCM of 884, 357, 902, 572, 508?
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 884, 357, 902, 572, 508.
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}.