Find the LCM of 980, 594, 605, 600, 594 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 980, 594, 605, 600, 594. So, keep reading to learn more.
Given numbers are 980,594,605,600,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,594,605,600,594 is 32016600.
Find LCM of 980,594,605,600,594 with Prime Factorization
2 | 980, 594, 605, 600, 594 |
2 | 490, 297, 605, 300, 297 |
3 | 245, 297, 605, 150, 297 |
3 | 245, 99, 605, 50, 99 |
3 | 245, 33, 605, 50, 33 |
5 | 245, 11, 605, 50, 11 |
11 | 49, 11, 121, 10, 11 |
49, 1, 1, 10, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 11 x 49 x 1 x 1 x 10 x 11 = 32016600
Therefore, the lowest common multiple of 980,594,605,600,594 is 32016600.
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.
980 x 594 x 605 x 600 x 594 = 125517878640000
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
605 : 1, 5, 11, 55, 121, 605
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,594,605,600,594, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
594:2x 3x 3x 3x 11
605:5x 11x 11
600:2x 2x 2x 3x 5x 5
594:2x 3x 3x 3x 11
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 3x 3x 5x 5x 11x 11 = 3920400
Therefore, the value for common factors is 3920400.
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 = 125517878640000/(1x3920400)
LCM = 125517878640000/3920400
LCM = 32016600
Thus, we can understand that the LCM of 980,594,605,600,594 is 32016600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 980, 594, 605, 600, 594?
Answer: LCM of 980, 594, 605, 600, 594 is 32016600.
2. How to calculate the LCM of 980, 594, 605, 600, 594?
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 980, 594, 605, 600, 594.
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}.