LCM of 4940, 4693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4940, 4693 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 4940, 4693. So, keep reading to learn more.
Given numbers are 4940,4693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4940,4693 is 93860.
Find LCM of 4940,4693 with Prime Factorization
| 13 | 4940, 4693 |
| 19 | 380, 361 |
| 20, 19 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 20 x 19 = 93860
Therefore, the lowest common multiple of 4940,4693 is 93860.
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.
4940 x 4693 = 23183420
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.
4940 : 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940
4693 : 1, 13, 19, 247, 361, 4693
247 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4940,4693, is 247.
Now, the common factors can be found like this.
4940:2x 2x 5x 13x 19
4693:13x 19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 23183420/(247x1)
LCM = 23183420/247
LCM = 93860
Thus, we can understand that the LCM of 4940,4693 is 93860.
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FAQs on LCM of 4940, 4693
1. What is the LCM of 4940, 4693?
Answer: LCM of 4940, 4693 is 93860.
2. How to calculate the LCM of 4940, 4693?
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 4940, 4693.
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}.