Find the LCM of 564, 611, 473, 229 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, 611, 473, 229. So, keep reading to learn more.
Given numbers are 564,611,473,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,611,473,229 is 794180244.
Find LCM of 564,611,473,229 with Prime Factorization
47 | 564, 611, 473, 229 |
12, 13, 473, 229 |
Multiply the prime numbers at the bottom and the left side.
47 x 12 x 13 x 473 x 229 = 794180244
Therefore, the lowest common multiple of 564,611,473,229 is 794180244.
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 611 x 473 x 229 = 37326471468
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
611 : 1, 13, 47, 611
473 : 1, 11, 43, 473
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,611,473,229, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
611:13x 47
473:11x 43
229:229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
47 = 47
Therefore, the value for common factors is 47.
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 = 37326471468/(1x47)
LCM = 37326471468/47
LCM = 794180244
Thus, we can understand that the LCM of 564,611,473,229 is 794180244.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 564, 611, 473, 229?
Answer: LCM of 564, 611, 473, 229 is 794180244.
2. How to calculate the LCM of 564, 611, 473, 229?
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, 611, 473, 229.
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}.