LCM of 418, 675, 970, 837, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 675, 970, 837, 912 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 418, 675, 970, 837, 912. So, keep reading to learn more.
Given numbers are 418,675,970,837,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,675,970,837,912 is 6787400400.
Find LCM of 418,675,970,837,912 with Prime Factorization
| 2 | 418, 675, 970, 837, 912 |
| 3 | 209, 675, 485, 837, 456 |
| 3 | 209, 225, 485, 279, 152 |
| 3 | 209, 75, 485, 93, 152 |
| 5 | 209, 25, 485, 31, 152 |
| 19 | 209, 5, 97, 31, 152 |
| 11, 5, 97, 31, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 19 x 11 x 5 x 97 x 31 x 8 = 6787400400
Therefore, the lowest common multiple of 418,675,970,837,912 is 6787400400.
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.
418 x 675 x 970 x 837 x 912 = 208916184312000
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
970 : 1, 2, 5, 10, 97, 194, 485, 970
837 : 1, 3, 9, 27, 31, 93, 279, 837
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,675,970,837,912, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
675:3x 3x 3x 5x 5
970:2x 5x 97
837:3x 3x 3x 31
912:2x 2x 2x 2x 3x 19
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 3x 5x 19 = 30780
Therefore, the value for common factors is 30780.
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 = 208916184312000/(1x30780)
LCM = 208916184312000/30780
LCM = 6787400400
Thus, we can understand that the LCM of 418,675,970,837,912 is 6787400400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 675, 970, 837, 912
1. What is the LCM of 418, 675, 970, 837, 912?
Answer: LCM of 418, 675, 970, 837, 912 is 6787400400.
2. How to calculate the LCM of 418, 675, 970, 837, 912?
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 418, 675, 970, 837, 912.
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}.