LCM of 5370, 7590
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 5370, 7590 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 5370, 7590. So, keep reading to learn more.
Given numbers are 5370,7590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5370,7590 is 1358610.
Find LCM of 5370,7590 with Prime Factorization
| 2 | 5370, 7590 |
| 3 | 2685, 3795 |
| 5 | 895, 1265 |
| 179, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 179 x 253 = 1358610
Therefore, the lowest common multiple of 5370,7590 is 1358610.
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.
5370 x 7590 = 40758300
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.
5370 : 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370
7590 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590
30 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5370,7590, is 30.
Now, the common factors can be found like this.
5370:2x 3x 5x 179
7590:2x 3x 5x 11x 23
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 = 40758300/(30x1)
LCM = 40758300/30
LCM = 1358610
Thus, we can understand that the LCM of 5370,7590 is 1358610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 5370, 7590
1. What is the LCM of 5370, 7590?
Answer: LCM of 5370, 7590 is 1358610.
2. How to calculate the LCM of 5370, 7590?
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 5370, 7590.
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}.