LCM of 4921, 3108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4921, 3108 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 4921, 3108. So, keep reading to learn more.
Given numbers are 4921,3108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4921,3108 is 59052.
Find LCM of 4921,3108 with Prime Factorization
| 7 | 4921, 3108 |
| 37 | 703, 444 |
| 19, 12 |
Multiply the prime numbers at the bottom and the left side.
7 x 37 x 19 x 12 = 59052
Therefore, the lowest common multiple of 4921,3108 is 59052.
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.
4921 x 3108 = 15294468
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.
4921 : 1, 7, 19, 37, 133, 259, 703, 4921
3108 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 37, 42, 74, 84, 111, 148, 222, 259, 444, 518, 777, 1036, 1554, 3108
259 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4921,3108, is 259.
Now, the common factors can be found like this.
4921:7x 19x 37
3108:2x 2x 3x 7x 37
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 = 15294468/(259x1)
LCM = 15294468/259
LCM = 59052
Thus, we can understand that the LCM of 4921,3108 is 59052.
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FAQs on LCM of 4921, 3108
1. What is the LCM of 4921, 3108?
Answer: LCM of 4921, 3108 is 59052.
2. How to calculate the LCM of 4921, 3108?
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 4921, 3108.
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}.