LCM of 841, 412, 537, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 412, 537, 716 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 841, 412, 537, 716. So, keep reading to learn more.
Given numbers are 841,412,537,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,412,537,716 is 186066204.
Find LCM of 841,412,537,716 with Prime Factorization
| 2 | 841, 412, 537, 716 |
| 2 | 841, 206, 537, 358 |
| 179 | 841, 103, 537, 179 |
| 841, 103, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 179 x 841 x 103 x 3 x 1 = 186066204
Therefore, the lowest common multiple of 841,412,537,716 is 186066204.
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.
841 x 412 x 537 x 716 = 133223402064
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.
841 : 1, 29, 841
412 : 1, 2, 4, 103, 206, 412
537 : 1, 3, 179, 537
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,412,537,716, is 1.
Now, the common factors can be found like this.
841:29x 29
412:2x 2x 103
537:3x 179
716:2x 2x 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 2x 179 = 716
Therefore, the value for common factors is 716.
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 = 133223402064/(1x716)
LCM = 133223402064/716
LCM = 186066204
Thus, we can understand that the LCM of 841,412,537,716 is 186066204.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 841, 412, 537, 716
1. What is the LCM of 841, 412, 537, 716?
Answer: LCM of 841, 412, 537, 716 is 186066204.
2. How to calculate the LCM of 841, 412, 537, 716?
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 841, 412, 537, 716.
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}.