Find the LCM of 564, 921, 871, 897, 759 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 564, 921, 871, 897, 759. So, keep reading to learn more.
Given numbers are 564,921,871,897,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,921,871,897,759 is 38155412724.
Find LCM of 564,921,871,897,759 with Prime Factorization
3 | 564, 921, 871, 897, 759 |
13 | 188, 307, 871, 299, 253 |
23 | 188, 307, 67, 23, 253 |
188, 307, 67, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 23 x 188 x 307 x 67 x 1 x 11 = 38155412724
Therefore, the lowest common multiple of 564,921,871,897,759 is 38155412724.
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.
564 x 921 x 871 x 897 x 759 = 308028646920852
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
921 : 1, 3, 307, 921
871 : 1, 13, 67, 871
897 : 1, 3, 13, 23, 39, 69, 299, 897
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,921,871,897,759, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
921:3x 307
871:13x 67
897:3x 13x 23
759:3x 11x 23
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 3x 13x 23 = 8073
Therefore, the value for common factors is 8073.
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 = 308028646920852/(1x8073)
LCM = 308028646920852/8073
LCM = 38155412724
Thus, we can understand that the LCM of 564,921,871,897,759 is 38155412724.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 564, 921, 871, 897, 759?
Answer: LCM of 564, 921, 871, 897, 759 is 38155412724.
2. How to calculate the LCM of 564, 921, 871, 897, 759?
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 564, 921, 871, 897, 759.
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}.