Find the LCM of 669, 161, 771, 497, 771 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, 161, 771, 497, 771. So, keep reading to learn more.
Given numbers are 669,161,771,497,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,161,771,497,771 is 1965366123.
Find LCM of 669,161,771,497,771 with Prime Factorization
3 | 669, 161, 771, 497, 771 |
7 | 223, 161, 257, 497, 257 |
257 | 223, 23, 257, 71, 257 |
223, 23, 1, 71, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 257 x 223 x 23 x 1 x 71 x 1 = 1965366123
Therefore, the lowest common multiple of 669,161,771,497,771 is 1965366123.
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 161 x 771 x 497 x 771 = 31821242897493
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
161 : 1, 7, 23, 161
771 : 1, 3, 257, 771
497 : 1, 7, 71, 497
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,161,771,497,771, is 1.
Now, the common factors can be found like this.
669:3x 223
161:7x 23
771:3x 257
497:7x 71
771:3x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 257 = 16191
Therefore, the value for common factors is 16191.
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 = 31821242897493/(1x16191)
LCM = 31821242897493/16191
LCM = 1965366123
Thus, we can understand that the LCM of 669,161,771,497,771 is 1965366123.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 669, 161, 771, 497, 771?
Answer: LCM of 669, 161, 771, 497, 771 is 1965366123.
2. How to calculate the LCM of 669, 161, 771, 497, 771?
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, 161, 771, 497, 771.
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}.