LCM of 414, 209, 951, 236, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 209, 951, 236, 847 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 414, 209, 951, 236, 847. So, keep reading to learn more.
Given numbers are 414,209,951,236,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,209,951,236,847 is 249217549812.
Find LCM of 414,209,951,236,847 with Prime Factorization
| 2 | 414, 209, 951, 236, 847 |
| 3 | 207, 209, 951, 118, 847 |
| 11 | 69, 209, 317, 118, 847 |
| 69, 19, 317, 118, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 69 x 19 x 317 x 118 x 77 = 249217549812
Therefore, the lowest common multiple of 414,209,951,236,847 is 249217549812.
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.
414 x 209 x 951 x 236 x 847 = 16448358287592
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
209 : 1, 11, 19, 209
951 : 1, 3, 317, 951
236 : 1, 2, 4, 59, 118, 236
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,209,951,236,847, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
209:11x 19
951:3x 317
236:2x 2x 59
847:7x 11x 11
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 11 = 66
Therefore, the value for common factors is 66.
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 = 16448358287592/(1x66)
LCM = 16448358287592/66
LCM = 249217549812
Thus, we can understand that the LCM of 414,209,951,236,847 is 249217549812.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 414, 209, 951, 236, 847
1. What is the LCM of 414, 209, 951, 236, 847?
Answer: LCM of 414, 209, 951, 236, 847 is 249217549812.
2. How to calculate the LCM of 414, 209, 951, 236, 847?
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 414, 209, 951, 236, 847.
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}.