Find the LCM of 980, 907, 319, 525, 363 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, 907, 319, 525, 363. So, keep reading to learn more.
Given numbers are 980,907,319,525,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,907,319,525,363 is 46785146100.
Find LCM of 980,907,319,525,363 with Prime Factorization
3 | 980, 907, 319, 525, 363 |
5 | 980, 907, 319, 175, 121 |
7 | 196, 907, 319, 35, 121 |
11 | 28, 907, 319, 5, 121 |
28, 907, 29, 5, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 11 x 28 x 907 x 29 x 5 x 11 = 46785146100
Therefore, the lowest common multiple of 980,907,319,525,363 is 46785146100.
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 907 x 319 x 525 x 363 = 54036843745500
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
907 : 1, 907
319 : 1, 11, 29, 319
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,907,319,525,363, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
907:907
319:11x 29
525:3x 5x 5x 7
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 11 = 1155
Therefore, the value for common factors is 1155.
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 = 54036843745500/(1x1155)
LCM = 54036843745500/1155
LCM = 46785146100
Thus, we can understand that the LCM of 980,907,319,525,363 is 46785146100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 980, 907, 319, 525, 363?
Answer: LCM of 980, 907, 319, 525, 363 is 46785146100.
2. How to calculate the LCM of 980, 907, 319, 525, 363?
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, 907, 319, 525, 363.
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}.