Find the LCM of 889, 938, 588, 553, 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 889, 938, 588, 553, 572. So, keep reading to learn more.
Given numbers are 889,938,588,553,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,938,588,553,572 is 56522189724.
Find LCM of 889,938,588,553,572 with Prime Factorization
2 | 889, 938, 588, 553, 572 |
2 | 889, 469, 294, 553, 286 |
7 | 889, 469, 147, 553, 143 |
127, 67, 21, 79, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 127 x 67 x 21 x 79 x 143 = 56522189724
Therefore, the lowest common multiple of 889,938,588,553,572 is 56522189724.
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.
889 x 938 x 588 x 553 x 572 = 155096888602656
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.
889 : 1, 7, 127, 889
938 : 1, 2, 7, 14, 67, 134, 469, 938
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
553 : 1, 7, 79, 553
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 889,938,588,553,572, is 1.
Now, the common factors can be found like this.
889:7x 127
938:2x 7x 67
588:2x 2x 3x 7x 7
553:7x 79
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 7x 7x 7 = 2744
Therefore, the value for common factors is 2744.
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 = 155096888602656/(1x2744)
LCM = 155096888602656/2744
LCM = 56522189724
Thus, we can understand that the LCM of 889,938,588,553,572 is 56522189724.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 889, 938, 588, 553, 572?
Answer: LCM of 889, 938, 588, 553, 572 is 56522189724.
2. How to calculate the LCM of 889, 938, 588, 553, 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 889, 938, 588, 553, 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}.