Find the LCM of 928, 667, 297, 921, 690 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 928, 667, 297, 921, 690. So, keep reading to learn more.
Given numbers are 928,667,297,921,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,667,297,921,690 is 9730622880.
Find LCM of 928,667,297,921,690 with Prime Factorization
2 | 928, 667, 297, 921, 690 |
3 | 464, 667, 297, 921, 345 |
23 | 464, 667, 99, 307, 115 |
29 | 464, 29, 99, 307, 5 |
16, 1, 99, 307, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 29 x 16 x 1 x 99 x 307 x 5 = 9730622880
Therefore, the lowest common multiple of 928,667,297,921,690 is 9730622880.
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.
928 x 667 x 297 x 921 x 690 = 116825858297280
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
667 : 1, 23, 29, 667
297 : 1, 3, 9, 11, 27, 33, 99, 297
921 : 1, 3, 307, 921
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,667,297,921,690, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
667:23x 29
297:3x 3x 3x 11
921:3x 307
690:2x 3x 5x 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 3x 3x 23x 29 = 12006
Therefore, the value for common factors is 12006.
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 = 116825858297280/(1x12006)
LCM = 116825858297280/12006
LCM = 9730622880
Thus, we can understand that the LCM of 928,667,297,921,690 is 9730622880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 928, 667, 297, 921, 690?
Answer: LCM of 928, 667, 297, 921, 690 is 9730622880.
2. How to calculate the LCM of 928, 667, 297, 921, 690?
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 928, 667, 297, 921, 690.
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}.