LCM of 709, 443, 141, 690, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 709, 443, 141, 690, 407 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 709, 443, 141, 690, 407. So, keep reading to learn more.
Given numbers are 709,443,141,690,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,443,141,690,407 is 4145637453870.
Find LCM of 709,443,141,690,407 with Prime Factorization
| 3 | 709, 443, 141, 690, 407 |
| 709, 443, 47, 230, 407 |
Multiply the prime numbers at the bottom and the left side.
3 x 709 x 443 x 47 x 230 x 407 = 4145637453870
Therefore, the lowest common multiple of 709,443,141,690,407 is 4145637453870.
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.
709 x 443 x 141 x 690 x 407 = 12436912361610
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.
709 : 1, 709
443 : 1, 443
141 : 1, 3, 47, 141
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,443,141,690,407, is 1.
Now, the common factors can be found like this.
709:709
443:443
141:3x 47
690:2x 3x 5x 23
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 12436912361610/(1x3)
LCM = 12436912361610/3
LCM = 4145637453870
Thus, we can understand that the LCM of 709,443,141,690,407 is 4145637453870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 709, 443, 141, 690, 407
1. What is the LCM of 709, 443, 141, 690, 407?
Answer: LCM of 709, 443, 141, 690, 407 is 4145637453870.
2. How to calculate the LCM of 709, 443, 141, 690, 407?
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 709, 443, 141, 690, 407.
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}.