Find the LCM of 195, 805, 748, 871, 368 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 195, 805, 748, 871, 368. So, keep reading to learn more.
Given numbers are 195,805,748,871,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,805,748,871,368 is 6293567280.
Find LCM of 195,805,748,871,368 with Prime Factorization
2 | 195, 805, 748, 871, 368 |
2 | 195, 805, 374, 871, 184 |
5 | 195, 805, 187, 871, 92 |
13 | 39, 161, 187, 871, 92 |
23 | 3, 161, 187, 67, 92 |
3, 7, 187, 67, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 23 x 3 x 7 x 187 x 67 x 4 = 6293567280
Therefore, the lowest common multiple of 195,805,748,871,368 is 6293567280.
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.
195 x 805 x 748 x 871 x 368 = 37635532334400
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
805 : 1, 5, 7, 23, 35, 115, 161, 805
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
871 : 1, 13, 67, 871
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,805,748,871,368, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
805:5x 7x 23
748:2x 2x 11x 17
871:13x 67
368:2x 2x 2x 2x 23
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 5x 13x 23 = 5980
Therefore, the value for common factors is 5980.
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 = 37635532334400/(1x5980)
LCM = 37635532334400/5980
LCM = 6293567280
Thus, we can understand that the LCM of 195,805,748,871,368 is 6293567280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 195, 805, 748, 871, 368?
Answer: LCM of 195, 805, 748, 871, 368 is 6293567280.
2. How to calculate the LCM of 195, 805, 748, 871, 368?
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 195, 805, 748, 871, 368.
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}.