Find the LCM of 290, 754, 798, 786, 956 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 290, 754, 798, 786, 956. So, keep reading to learn more.
Given numbers are 290,754,798,786,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,754,798,786,956 is 94191874140.
Find LCM of 290,754,798,786,956 with Prime Factorization
2 | 290, 754, 798, 786, 956 |
3 | 145, 377, 399, 393, 478 |
29 | 145, 377, 133, 131, 478 |
5, 13, 133, 131, 478 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 5 x 13 x 133 x 131 x 478 = 94191874140
Therefore, the lowest common multiple of 290,754,798,786,956 is 94191874140.
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.
290 x 754 x 798 x 786 x 956 = 131115088802880
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
754 : 1, 2, 13, 26, 29, 58, 377, 754
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
786 : 1, 2, 3, 6, 131, 262, 393, 786
956 : 1, 2, 4, 239, 478, 956
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,754,798,786,956, is 2.
Now, the common factors can be found like this.
290:2x 5x 29
754:2x 13x 29
798:2x 3x 7x 19
786:2x 3x 131
956:2x 2x 239
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 2x 3x 29 = 696
Therefore, the value for common factors is 696.
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 = 131115088802880/(2x696)
LCM = 131115088802880/1392
LCM = 94191874140
Thus, we can understand that the LCM of 290,754,798,786,956 is 94191874140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 290, 754, 798, 786, 956?
Answer: LCM of 290, 754, 798, 786, 956 is 94191874140.
2. How to calculate the LCM of 290, 754, 798, 786, 956?
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 290, 754, 798, 786, 956.
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}.