LCM of 713, 143, 936, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 713, 143, 936, 594 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 713, 143, 936, 594. So, keep reading to learn more.
Given numbers are 713,143,936,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,143,936,594 is 22023144.
Find LCM of 713,143,936,594 with Prime Factorization
| 2 | 713, 143, 936, 594 |
| 3 | 713, 143, 468, 297 |
| 3 | 713, 143, 156, 99 |
| 11 | 713, 143, 52, 33 |
| 13 | 713, 13, 52, 3 |
| 713, 1, 4, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 713 x 1 x 4 x 3 = 22023144
Therefore, the lowest common multiple of 713,143,936,594 is 22023144.
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.
713 x 143 x 936 x 594 = 56687572656
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.
713 : 1, 23, 31, 713
143 : 1, 11, 13, 143
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,143,936,594, is 1.
Now, the common factors can be found like this.
713:23x 31
143:11x 13
936:2x 2x 2x 3x 3x 13
594:2x 3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 13 = 2574
Therefore, the value for common factors is 2574.
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 = 56687572656/(1x2574)
LCM = 56687572656/2574
LCM = 22023144
Thus, we can understand that the LCM of 713,143,936,594 is 22023144.
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FAQs on LCM of 713, 143, 936, 594
1. What is the LCM of 713, 143, 936, 594?
Answer: LCM of 713, 143, 936, 594 is 22023144.
2. How to calculate the LCM of 713, 143, 936, 594?
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 713, 143, 936, 594.
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}.