LCM of 803, 102, 102, 744, 607
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 102, 102, 744, 607 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 803, 102, 102, 744, 607. So, keep reading to learn more.
Given numbers are 803,102,102,744,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,102,102,744,607 is 6164900808.
Find LCM of 803,102,102,744,607 with Prime Factorization
| 2 | 803, 102, 102, 744, 607 |
| 3 | 803, 51, 51, 372, 607 |
| 17 | 803, 17, 17, 124, 607 |
| 803, 1, 1, 124, 607 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 803 x 1 x 1 x 124 x 607 = 6164900808
Therefore, the lowest common multiple of 803,102,102,744,607 is 6164900808.
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.
803 x 102 x 102 x 744 x 607 = 3772919294496
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.
803 : 1, 11, 73, 803
102 : 1, 2, 3, 6, 17, 34, 51, 102
102 : 1, 2, 3, 6, 17, 34, 51, 102
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,102,102,744,607, is 1.
Now, the common factors can be found like this.
803:11x 73
102:2x 3x 17
102:2x 3x 17
744:2x 2x 2x 3x 31
607:607
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 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 3772919294496/(1x612)
LCM = 3772919294496/612
LCM = 6164900808
Thus, we can understand that the LCM of 803,102,102,744,607 is 6164900808.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 803, 102, 102, 744, 607
1. What is the LCM of 803, 102, 102, 744, 607?
Answer: LCM of 803, 102, 102, 744, 607 is 6164900808.
2. How to calculate the LCM of 803, 102, 102, 744, 607?
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 803, 102, 102, 744, 607.
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}.