LCM of 900, 494, 782, 393, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 494, 782, 393, 988 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 900, 494, 782, 393, 988. So, keep reading to learn more.
Given numbers are 900,494,782,393,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,494,782,393,988 is 11386428300.
Find LCM of 900,494,782,393,988 with Prime Factorization
| 2 | 900, 494, 782, 393, 988 |
| 2 | 450, 247, 391, 393, 494 |
| 3 | 225, 247, 391, 393, 247 |
| 13 | 75, 247, 391, 131, 247 |
| 19 | 75, 19, 391, 131, 19 |
| 75, 1, 391, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 75 x 1 x 391 x 131 x 1 = 11386428300
Therefore, the lowest common multiple of 900,494,782,393,988 is 11386428300.
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.
900 x 494 x 782 x 393 x 988 = 134997493924800
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.
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
494 : 1, 2, 13, 19, 26, 38, 247, 494
782 : 1, 2, 17, 23, 34, 46, 391, 782
393 : 1, 3, 131, 393
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,494,782,393,988, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
494:2x 13x 19
782:2x 17x 23
393:3x 131
988:2x 2x 13x 19
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 13x 19 = 11856
Therefore, the value for common factors is 11856.
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 = 134997493924800/(1x11856)
LCM = 134997493924800/11856
LCM = 11386428300
Thus, we can understand that the LCM of 900,494,782,393,988 is 11386428300.
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FAQs on LCM of 900, 494, 782, 393, 988
1. What is the LCM of 900, 494, 782, 393, 988?
Answer: LCM of 900, 494, 782, 393, 988 is 11386428300.
2. How to calculate the LCM of 900, 494, 782, 393, 988?
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 900, 494, 782, 393, 988.
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}.