LCM of 723, 407, 209, 836, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 407, 209, 836, 846 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 723, 407, 209, 836, 846. So, keep reading to learn more.
Given numbers are 723,407,209,836,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,407,209,836,846 is 3153300876.
Find LCM of 723,407,209,836,846 with Prime Factorization
| 2 | 723, 407, 209, 836, 846 |
| 3 | 723, 407, 209, 418, 423 |
| 11 | 241, 407, 209, 418, 141 |
| 19 | 241, 37, 19, 38, 141 |
| 241, 37, 1, 2, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 241 x 37 x 1 x 2 x 141 = 3153300876
Therefore, the lowest common multiple of 723,407,209,836,846 is 3153300876.
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.
723 x 407 x 209 x 836 x 846 = 43496632283544
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.
723 : 1, 3, 241, 723
407 : 1, 11, 37, 407
209 : 1, 11, 19, 209
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,407,209,836,846, is 1.
Now, the common factors can be found like this.
723:3x 241
407:11x 37
209:11x 19
836:2x 2x 11x 19
846:2x 3x 3x 47
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 11x 11x 19 = 13794
Therefore, the value for common factors is 13794.
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 = 43496632283544/(1x13794)
LCM = 43496632283544/13794
LCM = 3153300876
Thus, we can understand that the LCM of 723,407,209,836,846 is 3153300876.
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FAQs on LCM of 723, 407, 209, 836, 846
1. What is the LCM of 723, 407, 209, 836, 846?
Answer: LCM of 723, 407, 209, 836, 846 is 3153300876.
2. How to calculate the LCM of 723, 407, 209, 836, 846?
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 723, 407, 209, 836, 846.
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}.