LCM of 559, 313, 559, 242, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 313, 559, 242, 970 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 559, 313, 559, 242, 970. So, keep reading to learn more.
Given numbers are 559,313,559,242,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,313,559,242,970 is 20535876790.
Find LCM of 559,313,559,242,970 with Prime Factorization
| 2 | 559, 313, 559, 242, 970 |
| 13 | 559, 313, 559, 121, 485 |
| 43 | 43, 313, 43, 121, 485 |
| 1, 313, 1, 121, 485 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 43 x 1 x 313 x 1 x 121 x 485 = 20535876790
Therefore, the lowest common multiple of 559,313,559,242,970 is 20535876790.
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.
559 x 313 x 559 x 242 x 970 = 22959110251220
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.
559 : 1, 13, 43, 559
313 : 1, 313
559 : 1, 13, 43, 559
242 : 1, 2, 11, 22, 121, 242
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,313,559,242,970, is 1.
Now, the common factors can be found like this.
559:13x 43
313:313
559:13x 43
242:2x 11x 11
970:2x 5x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 43 = 1118
Therefore, the value for common factors is 1118.
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 = 22959110251220/(1x1118)
LCM = 22959110251220/1118
LCM = 20535876790
Thus, we can understand that the LCM of 559,313,559,242,970 is 20535876790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 559, 313, 559, 242, 970
1. What is the LCM of 559, 313, 559, 242, 970?
Answer: LCM of 559, 313, 559, 242, 970 is 20535876790.
2. How to calculate the LCM of 559, 313, 559, 242, 970?
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 559, 313, 559, 242, 970.
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}.