Find the LCM of 101, 749, 505, 107 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 101, 749, 505, 107. So, keep reading to learn more.
Given numbers are 101,749,505,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,749,505,107 is 378245.
Find LCM of 101,749,505,107 with Prime Factorization
101 | 101, 749, 505, 107 |
107 | 1, 749, 5, 107 |
1, 7, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
101 x 107 x 1 x 7 x 5 x 1 = 378245
Therefore, the lowest common multiple of 101,749,505,107 is 378245.
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.
101 x 749 x 505 x 107 = 4087693715
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.
101 : 1, 101
749 : 1, 7, 107, 749
505 : 1, 5, 101, 505
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,749,505,107, is 1.
Now, the common factors can be found like this.
101:101
749:7x 107
505:5x 101
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
101x 107 = 10807
Therefore, the value for common factors is 10807.
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 = 4087693715/(1x10807)
LCM = 4087693715/10807
LCM = 378245
Thus, we can understand that the LCM of 101,749,505,107 is 378245.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 101, 749, 505, 107?
Answer: LCM of 101, 749, 505, 107 is 378245.
2. How to calculate the LCM of 101, 749, 505, 107?
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 101, 749, 505, 107.
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}.