LCM of 319, 584, 742, 508, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 584, 742, 508, 106 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 319, 584, 742, 508, 106. So, keep reading to learn more.
Given numbers are 319,584,742,508,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,584,742,508,106 is 8777708632.
Find LCM of 319,584,742,508,106 with Prime Factorization
| 2 | 319, 584, 742, 508, 106 |
| 2 | 319, 292, 371, 254, 53 |
| 53 | 319, 146, 371, 127, 53 |
| 319, 146, 7, 127, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 319 x 146 x 7 x 127 x 1 = 8777708632
Therefore, the lowest common multiple of 319,584,742,508,106 is 8777708632.
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.
319 x 584 x 742 x 508 x 106 = 7443496919936
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.
319 : 1, 11, 29, 319
584 : 1, 2, 4, 8, 73, 146, 292, 584
742 : 1, 2, 7, 14, 53, 106, 371, 742
508 : 1, 2, 4, 127, 254, 508
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,584,742,508,106, is 1.
Now, the common factors can be found like this.
319:11x 29
584:2x 2x 2x 73
742:2x 7x 53
508:2x 2x 127
106:2x 53
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 2x 2x 53 = 848
Therefore, the value for common factors is 848.
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 = 7443496919936/(1x848)
LCM = 7443496919936/848
LCM = 8777708632
Thus, we can understand that the LCM of 319,584,742,508,106 is 8777708632.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 584, 742, 508, 106
1. What is the LCM of 319, 584, 742, 508, 106?
Answer: LCM of 319, 584, 742, 508, 106 is 8777708632.
2. How to calculate the LCM of 319, 584, 742, 508, 106?
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 319, 584, 742, 508, 106.
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}.