Find the LCM of 821, 688, 393, 242, 559 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 821, 688, 393, 242, 559. So, keep reading to learn more.
Given numbers are 821,688,393,242,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,688,393,242,559 is 349182820272.
Find LCM of 821,688,393,242,559 with Prime Factorization
2 | 821, 688, 393, 242, 559 |
43 | 821, 344, 393, 121, 559 |
821, 8, 393, 121, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 821 x 8 x 393 x 121 x 13 = 349182820272
Therefore, the lowest common multiple of 821,688,393,242,559 is 349182820272.
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.
821 x 688 x 393 x 242 x 559 = 30029722543392
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.
821 : 1, 821
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
393 : 1, 3, 131, 393
242 : 1, 2, 11, 22, 121, 242
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,688,393,242,559, is 1.
Now, the common factors can be found like this.
821:821
688:2x 2x 2x 2x 43
393:3x 131
242:2x 11x 11
559:13x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 43 = 86
Therefore, the value for common factors is 86.
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 = 30029722543392/(1x86)
LCM = 30029722543392/86
LCM = 349182820272
Thus, we can understand that the LCM of 821,688,393,242,559 is 349182820272.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 821, 688, 393, 242, 559?
Answer: LCM of 821, 688, 393, 242, 559 is 349182820272.
2. How to calculate the LCM of 821, 688, 393, 242, 559?
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 821, 688, 393, 242, 559.
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}.