LCM of 758, 945, 342, 793, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 945, 342, 793, 210 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 758, 945, 342, 793, 210. So, keep reading to learn more.
Given numbers are 758,945,342,793,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,945,342,793,210 is 10792642770.
Find LCM of 758,945,342,793,210 with Prime Factorization
| 2 | 758, 945, 342, 793, 210 |
| 3 | 379, 945, 171, 793, 105 |
| 3 | 379, 315, 57, 793, 35 |
| 5 | 379, 105, 19, 793, 35 |
| 7 | 379, 21, 19, 793, 7 |
| 379, 3, 19, 793, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 379 x 3 x 19 x 793 x 1 = 10792642770
Therefore, the lowest common multiple of 758,945,342,793,210 is 10792642770.
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.
758 x 945 x 342 x 793 x 210 = 40796189670600
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.
758 : 1, 2, 379, 758
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
793 : 1, 13, 61, 793
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,945,342,793,210, is 1.
Now, the common factors can be found like this.
758:2x 379
945:3x 3x 3x 5x 7
342:2x 3x 3x 19
793:13x 61
210:2x 3x 5x 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 3x 3x 3x 5x 7 = 3780
Therefore, the value for common factors is 3780.
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 = 40796189670600/(1x3780)
LCM = 40796189670600/3780
LCM = 10792642770
Thus, we can understand that the LCM of 758,945,342,793,210 is 10792642770.
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FAQs on LCM of 758, 945, 342, 793, 210
1. What is the LCM of 758, 945, 342, 793, 210?
Answer: LCM of 758, 945, 342, 793, 210 is 10792642770.
2. How to calculate the LCM of 758, 945, 342, 793, 210?
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 758, 945, 342, 793, 210.
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}.