LCM of 307, 716, 595, 894, 537
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 307, 716, 595, 894, 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 307, 716, 595, 894, 537. So, keep reading to learn more.
Given numbers are 307,716,595,894,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,716,595,894,537 is 58462298580.
Find LCM of 307,716,595,894,537 with Prime Factorization
| 2 | 307, 716, 595, 894, 537 |
| 3 | 307, 358, 595, 447, 537 |
| 179 | 307, 358, 595, 149, 179 |
| 307, 2, 595, 149, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 179 x 307 x 2 x 595 x 149 x 1 = 58462298580
Therefore, the lowest common multiple of 307,716,595,894,537 is 58462298580.
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.
307 x 716 x 595 x 894 x 537 = 62788508674920
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.
307 : 1, 307
716 : 1, 2, 4, 179, 358, 716
595 : 1, 5, 7, 17, 35, 85, 119, 595
894 : 1, 2, 3, 6, 149, 298, 447, 894
537 : 1, 3, 179, 537
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,716,595,894,537, is 1.
Now, the common factors can be found like this.
307:307
716:2x 2x 179
595:5x 7x 17
894:2x 3x 149
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.
2x 3x 179 = 1074
Therefore, the value for common factors is 1074.
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 = 62788508674920/(1x1074)
LCM = 62788508674920/1074
LCM = 58462298580
Thus, we can understand that the LCM of 307,716,595,894,537 is 58462298580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 307, 716, 595, 894, 537
1. What is the LCM of 307, 716, 595, 894, 537?
Answer: LCM of 307, 716, 595, 894, 537 is 58462298580.
2. How to calculate the LCM of 307, 716, 595, 894, 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 307, 716, 595, 894, 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}.