Find the LCM of 565, 610, 329, 746, 980 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 565, 610, 329, 746, 980. So, keep reading to learn more.
Given numbers are 565,610,329,746,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,610,329,746,980 is 118424359340.
Find LCM of 565,610,329,746,980 with Prime Factorization
2 | 565, 610, 329, 746, 980 |
5 | 565, 305, 329, 373, 490 |
7 | 113, 61, 329, 373, 98 |
113, 61, 47, 373, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 113 x 61 x 47 x 373 x 14 = 118424359340
Therefore, the lowest common multiple of 565,610,329,746,980 is 118424359340.
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.
565 x 610 x 329 x 746 x 980 = 82897051538000
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.
565 : 1, 5, 113, 565
610 : 1, 2, 5, 10, 61, 122, 305, 610
329 : 1, 7, 47, 329
746 : 1, 2, 373, 746
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,610,329,746,980, is 1.
Now, the common factors can be found like this.
565:5x 113
610:2x 5x 61
329:7x 47
746:2x 373
980:2x 2x 5x 7x 7
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 5x 5x 7 = 700
Therefore, the value for common factors is 700.
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 = 82897051538000/(1x700)
LCM = 82897051538000/700
LCM = 118424359340
Thus, we can understand that the LCM of 565,610,329,746,980 is 118424359340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 565, 610, 329, 746, 980?
Answer: LCM of 565, 610, 329, 746, 980 is 118424359340.
2. How to calculate the LCM of 565, 610, 329, 746, 980?
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 565, 610, 329, 746, 980.
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}.