Find the LCM of 564, 426, 724, 483, 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 564, 426, 724, 483, 958. So, keep reading to learn more.
Given numbers are 564,426,724,483,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,426,724,483,958 is 558955735716.
Find LCM of 564,426,724,483,958 with Prime Factorization
2 | 564, 426, 724, 483, 958 |
2 | 282, 213, 362, 483, 479 |
3 | 141, 213, 181, 483, 479 |
47, 71, 181, 161, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 71 x 181 x 161 x 479 = 558955735716
Therefore, the lowest common multiple of 564,426,724,483,958 is 558955735716.
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 426 x 724 x 483 x 958 = 80489625943104
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
426 : 1, 2, 3, 6, 71, 142, 213, 426
724 : 1, 2, 4, 181, 362, 724
483 : 1, 3, 7, 21, 23, 69, 161, 483
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,426,724,483,958, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
426:2x 3x 71
724:2x 2x 181
483:3x 7x 23
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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 80489625943104/(1x144)
LCM = 80489625943104/144
LCM = 558955735716
Thus, we can understand that the LCM of 564,426,724,483,958 is 558955735716.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 564, 426, 724, 483, 958?
Answer: LCM of 564, 426, 724, 483, 958 is 558955735716.
2. How to calculate the LCM of 564, 426, 724, 483, 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 564, 426, 724, 483, 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}.