Find the LCM of 690, 649, 501, 988, 644 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 690, 649, 501, 988, 644. So, keep reading to learn more.
Given numbers are 690,649,501,988,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,649,501,988,644 is 258604005660.
Find LCM of 690,649,501,988,644 with Prime Factorization
2 | 690, 649, 501, 988, 644 |
2 | 345, 649, 501, 494, 322 |
3 | 345, 649, 501, 247, 161 |
23 | 115, 649, 167, 247, 161 |
5, 649, 167, 247, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 5 x 649 x 167 x 247 x 7 = 258604005660
Therefore, the lowest common multiple of 690,649,501,988,644 is 258604005660.
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.
690 x 649 x 501 x 988 x 644 = 142749411124320
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
649 : 1, 11, 59, 649
501 : 1, 3, 167, 501
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,649,501,988,644, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
649:11x 59
501:3x 167
988:2x 2x 13x 19
644:2x 2x 7x 23
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 2x 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 142749411124320/(1x552)
LCM = 142749411124320/552
LCM = 258604005660
Thus, we can understand that the LCM of 690,649,501,988,644 is 258604005660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 690, 649, 501, 988, 644?
Answer: LCM of 690, 649, 501, 988, 644 is 258604005660.
2. How to calculate the LCM of 690, 649, 501, 988, 644?
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 690, 649, 501, 988, 644.
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}.