LCM of 784, 900, 969, 534, 100
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 900, 969, 534, 100 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 784, 900, 969, 534, 100. So, keep reading to learn more.
Given numbers are 784,900,969,534,100
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,900,969,534,100 is 5070970800.
Find LCM of 784,900,969,534,100 with Prime Factorization
| 2 | 784, 900, 969, 534, 100 |
| 2 | 392, 450, 969, 267, 50 |
| 3 | 196, 225, 969, 267, 25 |
| 5 | 196, 75, 323, 89, 25 |
| 5 | 196, 15, 323, 89, 5 |
| 196, 3, 323, 89, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 196 x 3 x 323 x 89 x 1 = 5070970800
Therefore, the lowest common multiple of 784,900,969,534,100 is 5070970800.
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.
784 x 900 x 969 x 534 x 100 = 36510989760000
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
969 : 1, 3, 17, 19, 51, 57, 323, 969
534 : 1, 2, 3, 6, 89, 178, 267, 534
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,900,969,534,100, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
900:2x 2x 3x 3x 5x 5
969:3x 17x 19
534:2x 3x 89
100:2x 2x 5x 5
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 5 = 7200
Therefore, the value for common factors is 7200.
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 = 36510989760000/(1x7200)
LCM = 36510989760000/7200
LCM = 5070970800
Thus, we can understand that the LCM of 784,900,969,534,100 is 5070970800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 784, 900, 969, 534, 100
1. What is the LCM of 784, 900, 969, 534, 100?
Answer: LCM of 784, 900, 969, 534, 100 is 5070970800.
2. How to calculate the LCM of 784, 900, 969, 534, 100?
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 784, 900, 969, 534, 100.
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}.