LCM of 836, 680, 396, 950, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 680, 396, 950, 747 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 836, 680, 396, 950, 747. So, keep reading to learn more.
Given numbers are 836,680,396,950,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,680,396,950,747 is 530818200.
Find LCM of 836,680,396,950,747 with Prime Factorization
| 2 | 836, 680, 396, 950, 747 |
| 2 | 418, 340, 198, 475, 747 |
| 3 | 209, 170, 99, 475, 747 |
| 3 | 209, 170, 33, 475, 249 |
| 5 | 209, 170, 11, 475, 83 |
| 11 | 209, 34, 11, 95, 83 |
| 19 | 19, 34, 1, 95, 83 |
| 1, 34, 1, 5, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 11 x 19 x 1 x 34 x 1 x 5 x 83 = 530818200
Therefore, the lowest common multiple of 836,680,396,950,747 is 530818200.
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.
836 x 680 x 396 x 950 x 747 = 159755045472000
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,680,396,950,747, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
680:2x 2x 2x 5x 17
396:2x 2x 3x 3x 11
950:2x 5x 5x 19
747:3x 3x 83
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 2x 3x 3x 5x 11x 19 = 300960
Therefore, the value for common factors is 300960.
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 = 159755045472000/(1x300960)
LCM = 159755045472000/300960
LCM = 530818200
Thus, we can understand that the LCM of 836,680,396,950,747 is 530818200.
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FAQs on LCM of 836, 680, 396, 950, 747
1. What is the LCM of 836, 680, 396, 950, 747?
Answer: LCM of 836, 680, 396, 950, 747 is 530818200.
2. How to calculate the LCM of 836, 680, 396, 950, 747?
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 836, 680, 396, 950, 747.
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}.