Find the LCM of 669, 507, 616, 774 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 669, 507, 616, 774. So, keep reading to learn more.
Given numbers are 669,507,616,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,507,616,774 is 8984279304.
Find LCM of 669,507,616,774 with Prime Factorization
2 | 669, 507, 616, 774 |
3 | 669, 507, 308, 387 |
223, 169, 308, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 223 x 169 x 308 x 129 = 8984279304
Therefore, the lowest common multiple of 669,507,616,774 is 8984279304.
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.
669 x 507 x 616 x 774 = 161717027472
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.
669 : 1, 3, 223, 669
507 : 1, 3, 13, 39, 169, 507
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,507,616,774, is 1.
Now, the common factors can be found like this.
669:3x 223
507:3x 13x 13
616:2x 2x 2x 7x 11
774:2x 3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 161717027472/(1x18)
LCM = 161717027472/18
LCM = 8984279304
Thus, we can understand that the LCM of 669,507,616,774 is 8984279304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 669, 507, 616, 774?
Answer: LCM of 669, 507, 616, 774 is 8984279304.
2. How to calculate the LCM of 669, 507, 616, 774?
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 669, 507, 616, 774.
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}.