Find the LCM of 701, 874, 972, 927, 583 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 701, 874, 972, 927, 583. So, keep reading to learn more.
Given numbers are 701,874,972,927,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,874,972,927,583 is 17880164058636.
Find LCM of 701,874,972,927,583 with Prime Factorization
2 | 701, 874, 972, 927, 583 |
3 | 701, 437, 486, 927, 583 |
3 | 701, 437, 162, 309, 583 |
701, 437, 54, 103, 583 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 701 x 437 x 54 x 103 x 583 = 17880164058636
Therefore, the lowest common multiple of 701,874,972,927,583 is 17880164058636.
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.
701 x 874 x 972 x 927 x 583 = 321842953055448
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.
701 : 1, 701
874 : 1, 2, 19, 23, 38, 46, 437, 874
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
927 : 1, 3, 9, 103, 309, 927
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,874,972,927,583, is 1.
Now, the common factors can be found like this.
701:701
874:2x 19x 23
972:2x 2x 3x 3x 3x 3x 3
927:3x 3x 103
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 321842953055448/(1x18)
LCM = 321842953055448/18
LCM = 17880164058636
Thus, we can understand that the LCM of 701,874,972,927,583 is 17880164058636.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 701, 874, 972, 927, 583?
Answer: LCM of 701, 874, 972, 927, 583 is 17880164058636.
2. How to calculate the LCM of 701, 874, 972, 927, 583?
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 701, 874, 972, 927, 583.
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}.