Find the LCM of 893, 754, 174, 642 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 893, 754, 174, 642. So, keep reading to learn more.
Given numbers are 893,754,174,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,754,174,642 is 216136362.
Find LCM of 893,754,174,642 with Prime Factorization
2 | 893, 754, 174, 642 |
3 | 893, 377, 87, 321 |
29 | 893, 377, 29, 107 |
893, 13, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 893 x 13 x 1 x 107 = 216136362
Therefore, the lowest common multiple of 893,754,174,642 is 216136362.
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.
893 x 754 x 174 x 642 = 75215453976
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.
893 : 1, 19, 47, 893
754 : 1, 2, 13, 26, 29, 58, 377, 754
174 : 1, 2, 3, 6, 29, 58, 87, 174
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,754,174,642, is 1.
Now, the common factors can be found like this.
893:19x 47
754:2x 13x 29
174:2x 3x 29
642:2x 3x 107
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 3x 29 = 348
Therefore, the value for common factors is 348.
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 = 75215453976/(1x348)
LCM = 75215453976/348
LCM = 216136362
Thus, we can understand that the LCM of 893,754,174,642 is 216136362.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 893, 754, 174, 642?
Answer: LCM of 893, 754, 174, 642 is 216136362.
2. How to calculate the LCM of 893, 754, 174, 642?
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 893, 754, 174, 642.
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}.