Find the LCM of 168, 822, 242, 767, 662 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 168, 822, 242, 767, 662. So, keep reading to learn more.
Given numbers are 168,822,242,767,662
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,822,242,767,662 is 707031196872.
Find LCM of 168,822,242,767,662 with Prime Factorization
2 | 168, 822, 242, 767, 662 |
3 | 84, 411, 121, 767, 331 |
28, 137, 121, 767, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 28 x 137 x 121 x 767 x 331 = 707031196872
Therefore, the lowest common multiple of 168,822,242,767,662 is 707031196872.
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.
168 x 822 x 242 x 767 x 662 = 16968748724928
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
822 : 1, 2, 3, 6, 137, 274, 411, 822
242 : 1, 2, 11, 22, 121, 242
767 : 1, 13, 59, 767
662 : 1, 2, 331, 662
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,822,242,767,662, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
822:2x 3x 137
242:2x 11x 11
767:13x 59
662:2x 331
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 3 = 24
Therefore, the value for common factors is 24.
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 = 16968748724928/(1x24)
LCM = 16968748724928/24
LCM = 707031196872
Thus, we can understand that the LCM of 168,822,242,767,662 is 707031196872.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 168, 822, 242, 767, 662?
Answer: LCM of 168, 822, 242, 767, 662 is 707031196872.
2. How to calculate the LCM of 168, 822, 242, 767, 662?
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 168, 822, 242, 767, 662.
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}.