Find the LCM of 361, 950, 722, 653, 803 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 361, 950, 722, 653, 803. So, keep reading to learn more.
Given numbers are 361,950,722,653,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,950,722,653,803 is 9464679950.
Find LCM of 361,950,722,653,803 with Prime Factorization
2 | 361, 950, 722, 653, 803 |
19 | 361, 475, 361, 653, 803 |
19 | 19, 25, 19, 653, 803 |
1, 25, 1, 653, 803 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 19 x 1 x 25 x 1 x 653 x 803 = 9464679950
Therefore, the lowest common multiple of 361,950,722,653,803 is 9464679950.
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.
361 x 950 x 722 x 653 x 803 = 129836479554100
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.
361 : 1, 19, 361
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
722 : 1, 2, 19, 38, 361, 722
653 : 1, 653
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,950,722,653,803, is 1.
Now, the common factors can be found like this.
361:19x 19
950:2x 5x 5x 19
722:2x 19x 19
653:653
803:11x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 19x 19 = 13718
Therefore, the value for common factors is 13718.
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 = 129836479554100/(1x13718)
LCM = 129836479554100/13718
LCM = 9464679950
Thus, we can understand that the LCM of 361,950,722,653,803 is 9464679950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 361, 950, 722, 653, 803?
Answer: LCM of 361, 950, 722, 653, 803 is 9464679950.
2. How to calculate the LCM of 361, 950, 722, 653, 803?
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 361, 950, 722, 653, 803.
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}.