Find the LCM of 649, 649, 620, 919 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, 649, 620, 919. So, keep reading to learn more.
Given numbers are 649,649,620,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,649,620,919 is 369787220.
Find LCM of 649,649,620,919 with Prime Factorization
11 | 649, 649, 620, 919 |
59 | 59, 59, 620, 919 |
1, 1, 620, 919 |
Multiply the prime numbers at the bottom and the left side.
11 x 59 x 1 x 1 x 620 x 919 = 369787220
Therefore, the lowest common multiple of 649,649,620,919 is 369787220.
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 649 x 620 x 919 = 239991905780
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
649 : 1, 11, 59, 649
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,649,620,919, is 1.
Now, the common factors can be found like this.
649:11x 59
649:11x 59
620:2x 2x 5x 31
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 59 = 649
Therefore, the value for common factors is 649.
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 = 239991905780/(1x649)
LCM = 239991905780/649
LCM = 369787220
Thus, we can understand that the LCM of 649,649,620,919 is 369787220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 649, 649, 620, 919?
Answer: LCM of 649, 649, 620, 919 is 369787220.
2. How to calculate the LCM of 649, 649, 620, 919?
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, 649, 620, 919.
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}.