LCM of 849, 506, 414, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 849, 506, 414, 915 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 849, 506, 414, 915. So, keep reading to learn more.
Given numbers are 849,506,414,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,506,414,915 is 393078510.
Find LCM of 849,506,414,915 with Prime Factorization
| 2 | 849, 506, 414, 915 |
| 3 | 849, 253, 207, 915 |
| 23 | 283, 253, 69, 305 |
| 283, 11, 3, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 283 x 11 x 3 x 305 = 393078510
Therefore, the lowest common multiple of 849,506,414,915 is 393078510.
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.
849 x 506 x 414 x 915 = 162734503140
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.
849 : 1, 3, 283, 849
506 : 1, 2, 11, 22, 23, 46, 253, 506
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,506,414,915, is 1.
Now, the common factors can be found like this.
849:3x 283
506:2x 11x 23
414:2x 3x 3x 23
915:3x 5x 61
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 23 = 414
Therefore, the value for common factors is 414.
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 = 162734503140/(1x414)
LCM = 162734503140/414
LCM = 393078510
Thus, we can understand that the LCM of 849,506,414,915 is 393078510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 849, 506, 414, 915
1. What is the LCM of 849, 506, 414, 915?
Answer: LCM of 849, 506, 414, 915 is 393078510.
2. How to calculate the LCM of 849, 506, 414, 915?
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 849, 506, 414, 915.
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}.