LCM of 102, 716, 564, 642, 349
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 716, 564, 642, 349 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 102, 716, 564, 642, 349. So, keep reading to learn more.
Given numbers are 102,716,564,642,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,716,564,642,349 is 64089998436.
Find LCM of 102,716,564,642,349 with Prime Factorization
| 2 | 102, 716, 564, 642, 349 |
| 2 | 51, 358, 282, 321, 349 |
| 3 | 51, 179, 141, 321, 349 |
| 17, 179, 47, 107, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 179 x 47 x 107 x 349 = 64089998436
Therefore, the lowest common multiple of 102,716,564,642,349 is 64089998436.
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.
102 x 716 x 564 x 642 x 349 = 9228959774784
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
716 : 1, 2, 4, 179, 358, 716
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
642 : 1, 2, 3, 6, 107, 214, 321, 642
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,716,564,642,349, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
716:2x 2x 179
564:2x 2x 3x 47
642:2x 3x 107
349:349
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 9228959774784/(1x144)
LCM = 9228959774784/144
LCM = 64089998436
Thus, we can understand that the LCM of 102,716,564,642,349 is 64089998436.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 102, 716, 564, 642, 349
1. What is the LCM of 102, 716, 564, 642, 349?
Answer: LCM of 102, 716, 564, 642, 349 is 64089998436.
2. How to calculate the LCM of 102, 716, 564, 642, 349?
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 102, 716, 564, 642, 349.
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}.