LCM of 678, 705, 141, 743, 709
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 705, 141, 743, 709 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 678, 705, 141, 743, 709. So, keep reading to learn more.
Given numbers are 678,705,141,743,709
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,705,141,743,709 is 83932972710.
Find LCM of 678,705,141,743,709 with Prime Factorization
| 3 | 678, 705, 141, 743, 709 |
| 47 | 226, 235, 47, 743, 709 |
| 226, 5, 1, 743, 709 |
Multiply the prime numbers at the bottom and the left side.
3 x 47 x 226 x 5 x 1 x 743 x 709 = 83932972710
Therefore, the lowest common multiple of 678,705,141,743,709 is 83932972710.
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.
678 x 705 x 141 x 743 x 709 = 35503647456330
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
705 : 1, 3, 5, 15, 47, 141, 235, 705
141 : 1, 3, 47, 141
743 : 1, 743
709 : 1, 709
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,705,141,743,709, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
705:3x 5x 47
141:3x 47
743:743
709:709
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 47 = 423
Therefore, the value for common factors is 423.
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 = 35503647456330/(1x423)
LCM = 35503647456330/423
LCM = 83932972710
Thus, we can understand that the LCM of 678,705,141,743,709 is 83932972710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 678, 705, 141, 743, 709
1. What is the LCM of 678, 705, 141, 743, 709?
Answer: LCM of 678, 705, 141, 743, 709 is 83932972710.
2. How to calculate the LCM of 678, 705, 141, 743, 709?
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 678, 705, 141, 743, 709.
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}.