LCM of 893, 537, 390, 537
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 537, 390, 537 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 893, 537, 390, 537. So, keep reading to learn more.
Given numbers are 893,537,390,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,537,390,537 is 62340330.
Find LCM of 893,537,390,537 with Prime Factorization
| 3 | 893, 537, 390, 537 |
| 179 | 893, 179, 130, 179 |
| 893, 1, 130, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 179 x 893 x 1 x 130 x 1 = 62340330
Therefore, the lowest common multiple of 893,537,390,537 is 62340330.
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.
893 x 537 x 390 x 537 = 100430271630
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.
893 : 1, 19, 47, 893
537 : 1, 3, 179, 537
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
537 : 1, 3, 179, 537
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,537,390,537, is 1.
Now, the common factors can be found like this.
893:19x 47
537:3x 179
390:2x 3x 5x 13
537:3x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 179 = 1611
Therefore, the value for common factors is 1611.
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 = 100430271630/(1x1611)
LCM = 100430271630/1611
LCM = 62340330
Thus, we can understand that the LCM of 893,537,390,537 is 62340330.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 893, 537, 390, 537
1. What is the LCM of 893, 537, 390, 537?
Answer: LCM of 893, 537, 390, 537 is 62340330.
2. How to calculate the LCM of 893, 537, 390, 537?
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 893, 537, 390, 537.
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}.