Find the LCM of 772, 169, 507, 587 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 772, 169, 507, 587. So, keep reading to learn more.
Given numbers are 772,169,507,587
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,169,507,587 is 229754148.
Find LCM of 772,169,507,587 with Prime Factorization
13 | 772, 169, 507, 587 |
13 | 772, 13, 39, 587 |
772, 1, 3, 587 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 772 x 1 x 3 x 587 = 229754148
Therefore, the lowest common multiple of 772,169,507,587 is 229754148.
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.
772 x 169 x 507 x 587 = 38828451012
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.
772 : 1, 2, 4, 193, 386, 772
169 : 1, 13, 169
507 : 1, 3, 13, 39, 169, 507
587 : 1, 587
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,169,507,587, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
169:13x 13
507:3x 13x 13
587:587
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 38828451012/(1x169)
LCM = 38828451012/169
LCM = 229754148
Thus, we can understand that the LCM of 772,169,507,587 is 229754148.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 772, 169, 507, 587?
Answer: LCM of 772, 169, 507, 587 is 229754148.
2. How to calculate the LCM of 772, 169, 507, 587?
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 772, 169, 507, 587.
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}.