LCM of 369, 906, 754, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 906, 754, 412 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 369, 906, 754, 412. So, keep reading to learn more.
Given numbers are 369,906,754,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,906,754,412 is 8654497956.
Find LCM of 369,906,754,412 with Prime Factorization
| 2 | 369, 906, 754, 412 |
| 3 | 369, 453, 377, 206 |
| 123, 151, 377, 206 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 123 x 151 x 377 x 206 = 8654497956
Therefore, the lowest common multiple of 369,906,754,412 is 8654497956.
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.
369 x 906 x 754 x 412 = 103853975472
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.
369 : 1, 3, 9, 41, 123, 369
906 : 1, 2, 3, 6, 151, 302, 453, 906
754 : 1, 2, 13, 26, 29, 58, 377, 754
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,906,754,412, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
906:2x 3x 151
754:2x 13x 29
412:2x 2x 103
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 3 = 12
Therefore, the value for common factors is 12.
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 = 103853975472/(1x12)
LCM = 103853975472/12
LCM = 8654497956
Thus, we can understand that the LCM of 369,906,754,412 is 8654497956.
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FAQs on LCM of 369, 906, 754, 412
1. What is the LCM of 369, 906, 754, 412?
Answer: LCM of 369, 906, 754, 412 is 8654497956.
2. How to calculate the LCM of 369, 906, 754, 412?
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 369, 906, 754, 412.
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}.