Find the LCM of 709, 153, 418, 654, 545 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, 153, 418, 654, 545. So, keep reading to learn more.
Given numbers are 709,153,418,654,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,153,418,654,545 is 24712145370.
Find LCM of 709,153,418,654,545 with Prime Factorization
2 | 709, 153, 418, 654, 545 |
3 | 709, 153, 209, 327, 545 |
109 | 709, 51, 209, 109, 545 |
709, 51, 209, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 709 x 51 x 209 x 1 x 5 = 24712145370
Therefore, the lowest common multiple of 709,153,418,654,545 is 24712145370.
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 153 x 418 x 654 x 545 = 16161743071980
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
153 : 1, 3, 9, 17, 51, 153
418 : 1, 2, 11, 19, 22, 38, 209, 418
654 : 1, 2, 3, 6, 109, 218, 327, 654
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,153,418,654,545, is 1.
Now, the common factors can be found like this.
709:709
153:3x 3x 17
418:2x 11x 19
654:2x 3x 109
545:5x 109
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 109 = 654
Therefore, the value for common factors is 654.
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 = 16161743071980/(1x654)
LCM = 16161743071980/654
LCM = 24712145370
Thus, we can understand that the LCM of 709,153,418,654,545 is 24712145370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 153, 418, 654, 545?
Answer: LCM of 709, 153, 418, 654, 545 is 24712145370.
2. How to calculate the LCM of 709, 153, 418, 654, 545?
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, 153, 418, 654, 545.
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}.