Find the LCM of 426, 292, 327, 897, 572 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 426, 292, 327, 897, 572. So, keep reading to learn more.
Given numbers are 426,292,327,897,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,292,327,897,572 is 22297328196.
Find LCM of 426,292,327,897,572 with Prime Factorization
2 | 426, 292, 327, 897, 572 |
2 | 213, 146, 327, 897, 286 |
3 | 213, 73, 327, 897, 143 |
13 | 71, 73, 109, 299, 143 |
71, 73, 109, 23, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 71 x 73 x 109 x 23 x 11 = 22297328196
Therefore, the lowest common multiple of 426,292,327,897,572 is 22297328196.
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.
426 x 292 x 327 x 897 x 572 = 20870299191456
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
292 : 1, 2, 4, 73, 146, 292
327 : 1, 3, 109, 327
897 : 1, 3, 13, 23, 39, 69, 299, 897
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,292,327,897,572, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
292:2x 2x 73
327:3x 109
897:3x 13x 23
572:2x 2x 11x 13
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 3x 3x 13 = 936
Therefore, the value for common factors is 936.
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 = 20870299191456/(1x936)
LCM = 20870299191456/936
LCM = 22297328196
Thus, we can understand that the LCM of 426,292,327,897,572 is 22297328196.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 426, 292, 327, 897, 572?
Answer: LCM of 426, 292, 327, 897, 572 is 22297328196.
2. How to calculate the LCM of 426, 292, 327, 897, 572?
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 426, 292, 327, 897, 572.
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}.