Find the LCM of 551, 767, 418, 924, 556 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 551, 767, 418, 924, 556. So, keep reading to learn more.
Given numbers are 551,767,418,924,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,767,418,924,556 is 54279237012.
Find LCM of 551,767,418,924,556 with Prime Factorization
2 | 551, 767, 418, 924, 556 |
2 | 551, 767, 209, 462, 278 |
11 | 551, 767, 209, 231, 139 |
19 | 551, 767, 19, 21, 139 |
29, 767, 1, 21, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 29 x 767 x 1 x 21 x 139 = 54279237012
Therefore, the lowest common multiple of 551,767,418,924,556 is 54279237012.
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.
551 x 767 x 418 x 924 x 556 = 90754884284064
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.
551 : 1, 19, 29, 551
767 : 1, 13, 59, 767
418 : 1, 2, 11, 19, 22, 38, 209, 418
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,767,418,924,556, is 1.
Now, the common factors can be found like this.
551:19x 29
767:13x 59
418:2x 11x 19
924:2x 2x 3x 7x 11
556:2x 2x 139
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 11x 19 = 1672
Therefore, the value for common factors is 1672.
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 = 90754884284064/(1x1672)
LCM = 90754884284064/1672
LCM = 54279237012
Thus, we can understand that the LCM of 551,767,418,924,556 is 54279237012.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 551, 767, 418, 924, 556?
Answer: LCM of 551, 767, 418, 924, 556 is 54279237012.
2. How to calculate the LCM of 551, 767, 418, 924, 556?
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 551, 767, 418, 924, 556.
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}.