Find the LCM of 642, 101, 149, 707 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 642, 101, 149, 707. So, keep reading to learn more.
Given numbers are 642,101,149,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,101,149,707 is 67630206.
Find LCM of 642,101,149,707 with Prime Factorization
101 | 642, 101, 149, 707 |
642, 1, 149, 7 |
Multiply the prime numbers at the bottom and the left side.
101 x 642 x 1 x 149 x 7 = 67630206
Therefore, the lowest common multiple of 642,101,149,707 is 67630206.
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.
642 x 101 x 149 x 707 = 6830650806
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
101 : 1, 101
149 : 1, 149
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,101,149,707, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
101:101
149:149
707:7x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
101 = 101
Therefore, the value for common factors is 101.
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 = 6830650806/(1x101)
LCM = 6830650806/101
LCM = 67630206
Thus, we can understand that the LCM of 642,101,149,707 is 67630206.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 101, 149, 707?
Answer: LCM of 642, 101, 149, 707 is 67630206.
2. How to calculate the LCM of 642, 101, 149, 707?
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 642, 101, 149, 707.
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}.