Find the LCM of 735, 418, 684, 606 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 735, 418, 684, 606. So, keep reading to learn more.
Given numbers are 735,418,684,606
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,418,684,606 is 186181380.
Find LCM of 735,418,684,606 with Prime Factorization
2 | 735, 418, 684, 606 |
3 | 735, 209, 342, 303 |
19 | 245, 209, 114, 101 |
245, 11, 6, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 245 x 11 x 6 x 101 = 186181380
Therefore, the lowest common multiple of 735,418,684,606 is 186181380.
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.
735 x 418 x 684 x 606 = 127348063920
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
418 : 1, 2, 11, 19, 22, 38, 209, 418
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
606 : 1, 2, 3, 6, 101, 202, 303, 606
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,418,684,606, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
418:2x 11x 19
684:2x 2x 3x 3x 19
606:2x 3x 101
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 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 127348063920/(1x684)
LCM = 127348063920/684
LCM = 186181380
Thus, we can understand that the LCM of 735,418,684,606 is 186181380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 735, 418, 684, 606?
Answer: LCM of 735, 418, 684, 606 is 186181380.
2. How to calculate the LCM of 735, 418, 684, 606?
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 735, 418, 684, 606.
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}.