LCM of 355, 400, 596, 712, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 355, 400, 596, 712, 845 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 355, 400, 596, 712, 845. So, keep reading to learn more.
Given numbers are 355,400,596,712,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,400,596,712,845 is 63647495600.
Find LCM of 355,400,596,712,845 with Prime Factorization
| 2 | 355, 400, 596, 712, 845 |
| 2 | 355, 200, 298, 356, 845 |
| 2 | 355, 100, 149, 178, 845 |
| 5 | 355, 50, 149, 89, 845 |
| 71, 10, 149, 89, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 71 x 10 x 149 x 89 x 169 = 63647495600
Therefore, the lowest common multiple of 355,400,596,712,845 is 63647495600.
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.
355 x 400 x 596 x 712 x 845 = 50917996480000
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.
355 : 1, 5, 71, 355
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
596 : 1, 2, 4, 149, 298, 596
712 : 1, 2, 4, 8, 89, 178, 356, 712
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,400,596,712,845, is 1.
Now, the common factors can be found like this.
355:5x 71
400:2x 2x 2x 2x 5x 5
596:2x 2x 149
712:2x 2x 2x 89
845:5x 13x 13
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 5x 5 = 800
Therefore, the value for common factors is 800.
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 = 50917996480000/(1x800)
LCM = 50917996480000/800
LCM = 63647495600
Thus, we can understand that the LCM of 355,400,596,712,845 is 63647495600.
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FAQs on LCM of 355, 400, 596, 712, 845
1. What is the LCM of 355, 400, 596, 712, 845?
Answer: LCM of 355, 400, 596, 712, 845 is 63647495600.
2. How to calculate the LCM of 355, 400, 596, 712, 845?
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 355, 400, 596, 712, 845.
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}.