LCM of 719, 719, 794, 664, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 719, 794, 664, 708 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 719, 719, 794, 664, 708. So, keep reading to learn more.
Given numbers are 719,719,794,664,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,719,794,664,708 is 33547544904.
Find LCM of 719,719,794,664,708 with Prime Factorization
| 2 | 719, 719, 794, 664, 708 |
| 2 | 719, 719, 397, 332, 354 |
| 719 | 719, 719, 397, 166, 177 |
| 1, 1, 397, 166, 177 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 719 x 1 x 1 x 397 x 166 x 177 = 33547544904
Therefore, the lowest common multiple of 719,719,794,664,708 is 33547544904.
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.
719 x 719 x 794 x 664 x 708 = 192965478287808
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.
719 : 1, 719
719 : 1, 719
794 : 1, 2, 397, 794
664 : 1, 2, 4, 8, 83, 166, 332, 664
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,719,794,664,708, is 1.
Now, the common factors can be found like this.
719:719
719:719
794:2x 397
664:2x 2x 2x 83
708:2x 2x 3x 59
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 719 = 5752
Therefore, the value for common factors is 5752.
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 = 192965478287808/(1x5752)
LCM = 192965478287808/5752
LCM = 33547544904
Thus, we can understand that the LCM of 719,719,794,664,708 is 33547544904.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 719, 719, 794, 664, 708
1. What is the LCM of 719, 719, 794, 664, 708?
Answer: LCM of 719, 719, 794, 664, 708 is 33547544904.
2. How to calculate the LCM of 719, 719, 794, 664, 708?
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 719, 719, 794, 664, 708.
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}.