LCM of 707, 652, 494, 572, 664
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 652, 494, 572, 664 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 707, 652, 494, 572, 664. So, keep reading to learn more.
Given numbers are 707,652,494,572,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,652,494,572,664 is 207904905208.
Find LCM of 707,652,494,572,664 with Prime Factorization
| 2 | 707, 652, 494, 572, 664 |
| 2 | 707, 326, 247, 286, 332 |
| 13 | 707, 163, 247, 143, 166 |
| 707, 163, 19, 11, 166 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 707 x 163 x 19 x 11 x 166 = 207904905208
Therefore, the lowest common multiple of 707,652,494,572,664 is 207904905208.
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.
707 x 652 x 494 x 572 x 664 = 86488440566528
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.
707 : 1, 7, 101, 707
652 : 1, 2, 4, 163, 326, 652
494 : 1, 2, 13, 19, 26, 38, 247, 494
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,652,494,572,664, is 1.
Now, the common factors can be found like this.
707:7x 101
652:2x 2x 163
494:2x 13x 19
572:2x 2x 11x 13
664:2x 2x 2x 83
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 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 86488440566528/(1x416)
LCM = 86488440566528/416
LCM = 207904905208
Thus, we can understand that the LCM of 707,652,494,572,664 is 207904905208.
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FAQs on LCM of 707, 652, 494, 572, 664
1. What is the LCM of 707, 652, 494, 572, 664?
Answer: LCM of 707, 652, 494, 572, 664 is 207904905208.
2. How to calculate the LCM of 707, 652, 494, 572, 664?
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 707, 652, 494, 572, 664.
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}.