Find the LCM of 567, 924, 867, 884, 544 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 567, 924, 867, 884, 544. So, keep reading to learn more.
Given numbers are 567,924,867,884,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,924,867,884,544 is 749837088.
Find LCM of 567,924,867,884,544 with Prime Factorization
2 | 567, 924, 867, 884, 544 |
2 | 567, 462, 867, 442, 272 |
3 | 567, 231, 867, 221, 136 |
7 | 189, 77, 289, 221, 136 |
17 | 27, 11, 289, 221, 136 |
27, 11, 17, 13, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 27 x 11 x 17 x 13 x 8 = 749837088
Therefore, the lowest common multiple of 567,924,867,884,544 is 749837088.
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.
567 x 924 x 867 x 884 x 544 = 218436541779456
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
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
867 : 1, 3, 17, 51, 289, 867
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,924,867,884,544, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
924:2x 2x 3x 7x 11
867:3x 17x 17
884:2x 2x 13x 17
544:2x 2x 2x 2x 2x 17
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 2x 3x 3x 7x 17x 17 = 291312
Therefore, the value for common factors is 291312.
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 = 218436541779456/(1x291312)
LCM = 218436541779456/291312
LCM = 749837088
Thus, we can understand that the LCM of 567,924,867,884,544 is 749837088.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 924, 867, 884, 544?
Answer: LCM of 567, 924, 867, 884, 544 is 749837088.
2. How to calculate the LCM of 567, 924, 867, 884, 544?
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 567, 924, 867, 884, 544.
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}.