LCM of 148, 869, 949, 954, 700
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 148, 869, 949, 954, 700 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 148, 869, 949, 954, 700. So, keep reading to learn more.
Given numbers are 148,869,949,954,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,869,949,954,700 is 10188356478300.
Find LCM of 148,869,949,954,700 with Prime Factorization
| 2 | 148, 869, 949, 954, 700 |
| 2 | 74, 869, 949, 477, 350 |
| 37, 869, 949, 477, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 869 x 949 x 477 x 175 = 10188356478300
Therefore, the lowest common multiple of 148,869,949,954,700 is 10188356478300.
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.
148 x 869 x 949 x 954 x 700 = 81506851826400
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.
148 : 1, 2, 4, 37, 74, 148
869 : 1, 11, 79, 869
949 : 1, 13, 73, 949
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,869,949,954,700, is 1.
Now, the common factors can be found like this.
148:2x 2x 37
869:11x 79
949:13x 73
954:2x 3x 3x 53
700:2x 2x 5x 5x 7
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 2 = 8
Therefore, the value for common factors is 8.
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 = 81506851826400/(1x8)
LCM = 81506851826400/8
LCM = 10188356478300
Thus, we can understand that the LCM of 148,869,949,954,700 is 10188356478300.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 148, 869, 949, 954, 700
1. What is the LCM of 148, 869, 949, 954, 700?
Answer: LCM of 148, 869, 949, 954, 700 is 10188356478300.
2. How to calculate the LCM of 148, 869, 949, 954, 700?
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 148, 869, 949, 954, 700.
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}.