LCM of 5412, 2746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 5412, 2746 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 5412, 2746. So, keep reading to learn more.
Given numbers are 5412,2746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5412,2746 is 7430676.
Find LCM of 5412,2746 with Prime Factorization
| 2 | 5412, 2746 |
| 2706, 1373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2706 x 1373 = 7430676
Therefore, the lowest common multiple of 5412,2746 is 7430676.
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.
5412 x 2746 = 14861352
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.
5412 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412
2746 : 1, 2, 1373, 2746
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5412,2746, is 2.
Now, the common factors can be found like this.
5412:2x 2x 3x 11x 41
2746:2x 1373
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 = 14861352/(2x1)
LCM = 14861352/2
LCM = 7430676
Thus, we can understand that the LCM of 5412,2746 is 7430676.
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FAQs on LCM of 5412, 2746
1. What is the LCM of 5412, 2746?
Answer: LCM of 5412, 2746 is 7430676.
2. How to calculate the LCM of 5412, 2746?
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 5412, 2746.
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}.