Find the LCM of 805, 242, 968, 739, 254 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 805, 242, 968, 739, 254. So, keep reading to learn more.
Given numbers are 805,242,968,739,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,242,968,739,254 is 73134011720.
Find LCM of 805,242,968,739,254 with Prime Factorization
2 | 805, 242, 968, 739, 254 |
11 | 805, 121, 484, 739, 127 |
11 | 805, 11, 44, 739, 127 |
805, 1, 4, 739, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 11 x 805 x 1 x 4 x 739 x 127 = 73134011720
Therefore, the lowest common multiple of 805,242,968,739,254 is 73134011720.
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.
805 x 242 x 968 x 739 x 254 = 35396861672480
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
242 : 1, 2, 11, 22, 121, 242
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
739 : 1, 739
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,242,968,739,254, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
242:2x 11x 11
968:2x 2x 2x 11x 11
739:739
254:2x 127
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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 35396861672480/(1x484)
LCM = 35396861672480/484
LCM = 73134011720
Thus, we can understand that the LCM of 805,242,968,739,254 is 73134011720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 805, 242, 968, 739, 254?
Answer: LCM of 805, 242, 968, 739, 254 is 73134011720.
2. How to calculate the LCM of 805, 242, 968, 739, 254?
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 805, 242, 968, 739, 254.
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}.