Find the LCM of 490, 702, 945, 457, 758 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 490, 702, 945, 457, 758. So, keep reading to learn more.
Given numbers are 490,702,945,457,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,702,945,457,758 is 29789183970.
Find LCM of 490,702,945,457,758 with Prime Factorization
2 | 490, 702, 945, 457, 758 |
3 | 245, 351, 945, 457, 379 |
3 | 245, 117, 315, 457, 379 |
3 | 245, 39, 105, 457, 379 |
5 | 245, 13, 35, 457, 379 |
7 | 49, 13, 7, 457, 379 |
1, 13, 7, 457, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 7 x 1 x 13 x 7 x 457 x 379 = 29789183970
Therefore, the lowest common multiple of 490,702,945,457,758 is 29789183970.
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.
490 x 702 x 945 x 457 x 758 = 112603115406600
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
457 : 1, 457
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,702,945,457,758, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
702:2x 3x 3x 3x 13
945:3x 3x 3x 5x 7
457:457
758:2x 379
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 3x 5x 7 = 3780
Therefore, the value for common factors is 3780.
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 = 112603115406600/(1x3780)
LCM = 112603115406600/3780
LCM = 29789183970
Thus, we can understand that the LCM of 490,702,945,457,758 is 29789183970.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 490, 702, 945, 457, 758?
Answer: LCM of 490, 702, 945, 457, 758 is 29789183970.
2. How to calculate the LCM of 490, 702, 945, 457, 758?
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 490, 702, 945, 457, 758.
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}.