LCM of 543, 338, 793, 705, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 338, 793, 705, 930 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 543, 338, 793, 705, 930. So, keep reading to learn more.
Given numbers are 543,338,793,705,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,338,793,705,930 is 81559756590.
Find LCM of 543,338,793,705,930 with Prime Factorization
| 2 | 543, 338, 793, 705, 930 |
| 3 | 543, 169, 793, 705, 465 |
| 5 | 181, 169, 793, 235, 155 |
| 13 | 181, 169, 793, 47, 31 |
| 181, 13, 61, 47, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 181 x 13 x 61 x 47 x 31 = 81559756590
Therefore, the lowest common multiple of 543,338,793,705,930 is 81559756590.
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.
543 x 338 x 793 x 705 x 930 = 95424915210300
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.
543 : 1, 3, 181, 543
338 : 1, 2, 13, 26, 169, 338
793 : 1, 13, 61, 793
705 : 1, 3, 5, 15, 47, 141, 235, 705
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,338,793,705,930, is 1.
Now, the common factors can be found like this.
543:3x 181
338:2x 13x 13
793:13x 61
705:3x 5x 47
930:2x 3x 5x 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 3x 3x 5x 13 = 1170
Therefore, the value for common factors is 1170.
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 = 95424915210300/(1x1170)
LCM = 95424915210300/1170
LCM = 81559756590
Thus, we can understand that the LCM of 543,338,793,705,930 is 81559756590.
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FAQs on LCM of 543, 338, 793, 705, 930
1. What is the LCM of 543, 338, 793, 705, 930?
Answer: LCM of 543, 338, 793, 705, 930 is 81559756590.
2. How to calculate the LCM of 543, 338, 793, 705, 930?
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 543, 338, 793, 705, 930.
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}.