LCM of 883, 735, 730, 812, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 883, 735, 730, 812, 558 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 883, 735, 730, 812, 558. So, keep reading to learn more.
Given numbers are 883,735,730,812,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 883,735,730,812,558 is 511107013620.
Find LCM of 883,735,730,812,558 with Prime Factorization
| 2 | 883, 735, 730, 812, 558 |
| 3 | 883, 735, 365, 406, 279 |
| 5 | 883, 245, 365, 406, 93 |
| 7 | 883, 49, 73, 406, 93 |
| 883, 7, 73, 58, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 883 x 7 x 73 x 58 x 93 = 511107013620
Therefore, the lowest common multiple of 883,735,730,812,558 is 511107013620.
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.
883 x 735 x 730 x 812 x 558 = 214664945720400
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.
883 : 1, 883
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
730 : 1, 2, 5, 10, 73, 146, 365, 730
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,735,730,812,558, is 1.
Now, the common factors can be found like this.
883:883
735:3x 5x 7x 7
730:2x 5x 73
812:2x 2x 7x 29
558:2x 3x 3x 31
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 3x 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 214664945720400/(1x420)
LCM = 214664945720400/420
LCM = 511107013620
Thus, we can understand that the LCM of 883,735,730,812,558 is 511107013620.
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FAQs on LCM of 883, 735, 730, 812, 558
1. What is the LCM of 883, 735, 730, 812, 558?
Answer: LCM of 883, 735, 730, 812, 558 is 511107013620.
2. How to calculate the LCM of 883, 735, 730, 812, 558?
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 883, 735, 730, 812, 558.
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}.