LCM of 717, 735, 294, 900, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 735, 294, 900, 132 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 717, 735, 294, 900, 132. So, keep reading to learn more.
Given numbers are 717,735,294,900,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,735,294,900,132 is 115938900.
Find LCM of 717,735,294,900,132 with Prime Factorization
| 2 | 717, 735, 294, 900, 132 |
| 2 | 717, 735, 147, 450, 66 |
| 3 | 717, 735, 147, 225, 33 |
| 5 | 239, 245, 49, 75, 11 |
| 7 | 239, 49, 49, 15, 11 |
| 7 | 239, 7, 7, 15, 11 |
| 239, 1, 1, 15, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 7 x 239 x 1 x 1 x 15 x 11 = 115938900
Therefore, the lowest common multiple of 717,735,294,900,132 is 115938900.
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.
717 x 735 x 294 x 900 x 132 = 18406459764000
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.
717 : 1, 3, 239, 717
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
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
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,735,294,900,132, is 3.
Now, the common factors can be found like this.
717:3x 239
735:3x 5x 7x 7
294:2x 3x 7x 7
900:2x 2x 3x 3x 5x 5
132:2x 2x 3x 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 3x 3x 3x 5x 7x 7 = 52920
Therefore, the value for common factors is 52920.
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 = 18406459764000/(3x52920)
LCM = 18406459764000/158760
LCM = 115938900
Thus, we can understand that the LCM of 717,735,294,900,132 is 115938900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 717, 735, 294, 900, 132
1. What is the LCM of 717, 735, 294, 900, 132?
Answer: LCM of 717, 735, 294, 900, 132 is 115938900.
2. How to calculate the LCM of 717, 735, 294, 900, 132?
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 717, 735, 294, 900, 132.
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}.