Find the LCM of 573, 644, 258, 410, 958 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 573, 644, 258, 410, 958. So, keep reading to learn more.
Given numbers are 573,644,258,410,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,644,258,410,958 is 1558110733620.
Find LCM of 573,644,258,410,958 with Prime Factorization
2 | 573, 644, 258, 410, 958 |
3 | 573, 322, 129, 205, 479 |
191, 322, 43, 205, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 191 x 322 x 43 x 205 x 479 = 1558110733620
Therefore, the lowest common multiple of 573,644,258,410,958 is 1558110733620.
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.
573 x 644 x 258 x 410 x 958 = 37394657606880
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.
573 : 1, 3, 191, 573
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
258 : 1, 2, 3, 6, 43, 86, 129, 258
410 : 1, 2, 5, 10, 41, 82, 205, 410
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,644,258,410,958, is 1.
Now, the common factors can be found like this.
573:3x 191
644:2x 2x 7x 23
258:2x 3x 43
410:2x 5x 41
958:2x 479
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 3 = 24
Therefore, the value for common factors is 24.
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 = 37394657606880/(1x24)
LCM = 37394657606880/24
LCM = 1558110733620
Thus, we can understand that the LCM of 573,644,258,410,958 is 1558110733620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 573, 644, 258, 410, 958?
Answer: LCM of 573, 644, 258, 410, 958 is 1558110733620.
2. How to calculate the LCM of 573, 644, 258, 410, 958?
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 573, 644, 258, 410, 958.
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}.