LCM of 100, 836, 123, 662, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 100, 836, 123, 662, 726 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 100, 836, 123, 662, 726. So, keep reading to learn more.
Given numbers are 100,836,123,662,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 100,836,123,662,726 is 9359918700.
Find LCM of 100,836,123,662,726 with Prime Factorization
| 2 | 100, 836, 123, 662, 726 |
| 2 | 50, 418, 123, 331, 363 |
| 3 | 25, 209, 123, 331, 363 |
| 11 | 25, 209, 41, 331, 121 |
| 25, 19, 41, 331, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 25 x 19 x 41 x 331 x 11 = 9359918700
Therefore, the lowest common multiple of 100,836,123,662,726 is 9359918700.
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.
100 x 836 x 123 x 662 x 726 = 4942037073600
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.
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
123 : 1, 3, 41, 123
662 : 1, 2, 331, 662
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,836,123,662,726, is 1.
Now, the common factors can be found like this.
100:2x 2x 5x 5
836:2x 2x 11x 19
123:3x 41
662:2x 331
726:2x 3x 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 2x 2x 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 4942037073600/(1x528)
LCM = 4942037073600/528
LCM = 9359918700
Thus, we can understand that the LCM of 100,836,123,662,726 is 9359918700.
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FAQs on LCM of 100, 836, 123, 662, 726
1. What is the LCM of 100, 836, 123, 662, 726?
Answer: LCM of 100, 836, 123, 662, 726 is 9359918700.
2. How to calculate the LCM of 100, 836, 123, 662, 726?
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 100, 836, 123, 662, 726.
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}.