LCM of 918, 765, 900, 782, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 918, 765, 900, 782, 490 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 918, 765, 900, 782, 490. So, keep reading to learn more.
Given numbers are 918,765,900,782,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,765,900,782,490 is 51729300.
Find LCM of 918,765,900,782,490 with Prime Factorization
| 2 | 918, 765, 900, 782, 490 |
| 3 | 459, 765, 450, 391, 245 |
| 3 | 153, 255, 150, 391, 245 |
| 5 | 51, 85, 50, 391, 245 |
| 17 | 51, 17, 10, 391, 49 |
| 3, 1, 10, 23, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 3 x 1 x 10 x 23 x 49 = 51729300
Therefore, the lowest common multiple of 918,765,900,782,490 is 51729300.
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.
918 x 765 x 900 x 782 x 490 = 242186236740000
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.
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
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
782 : 1, 2, 17, 23, 34, 46, 391, 782
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,765,900,782,490, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
765:3x 3x 5x 17
900:2x 2x 3x 3x 5x 5
782:2x 17x 23
490:2x 5x 7x 7
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 3x 5x 5x 17x 17 = 4681800
Therefore, the value for common factors is 4681800.
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 = 242186236740000/(1x4681800)
LCM = 242186236740000/4681800
LCM = 51729300
Thus, we can understand that the LCM of 918,765,900,782,490 is 51729300.
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FAQs on LCM of 918, 765, 900, 782, 490
1. What is the LCM of 918, 765, 900, 782, 490?
Answer: LCM of 918, 765, 900, 782, 490 is 51729300.
2. How to calculate the LCM of 918, 765, 900, 782, 490?
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 918, 765, 900, 782, 490.
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}.