Find the LCM of 747, 820, 403, 414, 159 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 747, 820, 403, 414, 159. So, keep reading to learn more.
Given numbers are 747,820,403,414,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,820,403,414,159 is 300914562780.
Find LCM of 747,820,403,414,159 with Prime Factorization
2 | 747, 820, 403, 414, 159 |
3 | 747, 410, 403, 207, 159 |
3 | 249, 410, 403, 69, 53 |
83, 410, 403, 23, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 83 x 410 x 403 x 23 x 53 = 300914562780
Therefore, the lowest common multiple of 747,820,403,414,159 is 300914562780.
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.
747 x 820 x 403 x 414 x 159 = 16249386390120
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.
747 : 1, 3, 9, 83, 249, 747
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
403 : 1, 13, 31, 403
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,820,403,414,159, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
820:2x 2x 5x 41
403:13x 31
414:2x 3x 3x 23
159:3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 16249386390120/(1x54)
LCM = 16249386390120/54
LCM = 300914562780
Thus, we can understand that the LCM of 747,820,403,414,159 is 300914562780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 747, 820, 403, 414, 159?
Answer: LCM of 747, 820, 403, 414, 159 is 300914562780.
2. How to calculate the LCM of 747, 820, 403, 414, 159?
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 747, 820, 403, 414, 159.
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}.