LCM of 713, 420, 300, 837
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 713, 420, 300, 837 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, 420, 300, 837. So, keep reading to learn more.
Given numbers are 713,420,300,837
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,420,300,837 is 13475700.
Find LCM of 713,420,300,837 with Prime Factorization
| 2 | 713, 420, 300, 837 |
| 2 | 713, 210, 150, 837 |
| 3 | 713, 105, 75, 837 |
| 5 | 713, 35, 25, 279 |
| 31 | 713, 7, 5, 279 |
| 23, 7, 5, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 23 x 7 x 5 x 9 = 13475700
Therefore, the lowest common multiple of 713,420,300,837 is 13475700.
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 420 x 300 x 837 = 75194406000
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
837 : 1, 3, 9, 27, 31, 93, 279, 837
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,420,300,837, is 1.
Now, the common factors can be found like this.
713:23x 31
420:2x 2x 3x 5x 7
300:2x 2x 3x 5x 5
837:3x 3x 3x 31
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 3x 3x 5x 31 = 5580
Therefore, the value for common factors is 5580.
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 = 75194406000/(1x5580)
LCM = 75194406000/5580
LCM = 13475700
Thus, we can understand that the LCM of 713,420,300,837 is 13475700.
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FAQs on LCM of 713, 420, 300, 837
1. What is the LCM of 713, 420, 300, 837?
Answer: LCM of 713, 420, 300, 837 is 13475700.
2. How to calculate the LCM of 713, 420, 300, 837?
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, 420, 300, 837.
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}.