Find the LCM of 649, 754, 118, 899 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 649, 754, 118, 899. So, keep reading to learn more.
Given numbers are 649,754,118,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,754,118,899 is 15169726.
Find LCM of 649,754,118,899 with Prime Factorization
2 | 649, 754, 118, 899 |
29 | 649, 377, 59, 899 |
59 | 649, 13, 59, 31 |
11, 13, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 59 x 11 x 13 x 1 x 31 = 15169726
Therefore, the lowest common multiple of 649,754,118,899 is 15169726.
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.
649 x 754 x 118 x 899 = 51910802372
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.
649 : 1, 11, 59, 649
754 : 1, 2, 13, 26, 29, 58, 377, 754
118 : 1, 2, 59, 118
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,754,118,899, is 1.
Now, the common factors can be found like this.
649:11x 59
754:2x 13x 29
118:2x 59
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29x 59 = 3422
Therefore, the value for common factors is 3422.
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 = 51910802372/(1x3422)
LCM = 51910802372/3422
LCM = 15169726
Thus, we can understand that the LCM of 649,754,118,899 is 15169726.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 649, 754, 118, 899?
Answer: LCM of 649, 754, 118, 899 is 15169726.
2. How to calculate the LCM of 649, 754, 118, 899?
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 649, 754, 118, 899.
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}.