LCM of 652, 708, 943, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 708, 943, 519 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 652, 708, 943, 519. So, keep reading to learn more.
Given numbers are 652,708,943,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,708,943,519 is 18826893156.
Find LCM of 652,708,943,519 with Prime Factorization
| 2 | 652, 708, 943, 519 |
| 2 | 326, 354, 943, 519 |
| 3 | 163, 177, 943, 519 |
| 163, 59, 943, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 163 x 59 x 943 x 173 = 18826893156
Therefore, the lowest common multiple of 652,708,943,519 is 18826893156.
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.
652 x 708 x 943 x 519 = 225922717872
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.
652 : 1, 2, 4, 163, 326, 652
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
943 : 1, 23, 41, 943
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,708,943,519, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
708:2x 2x 3x 59
943:23x 41
519:3x 173
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 3 = 12
Therefore, the value for common factors is 12.
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 = 225922717872/(1x12)
LCM = 225922717872/12
LCM = 18826893156
Thus, we can understand that the LCM of 652,708,943,519 is 18826893156.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 652, 708, 943, 519
1. What is the LCM of 652, 708, 943, 519?
Answer: LCM of 652, 708, 943, 519 is 18826893156.
2. How to calculate the LCM of 652, 708, 943, 519?
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 652, 708, 943, 519.
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}.