Find the LCM of 766, 409, 738, 328, 744 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 766, 409, 738, 328, 744. So, keep reading to learn more.
Given numbers are 766,409,738,328,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,409,738,328,744 is 14335080264.
Find LCM of 766,409,738,328,744 with Prime Factorization
2 | 766, 409, 738, 328, 744 |
2 | 383, 409, 369, 164, 372 |
2 | 383, 409, 369, 82, 186 |
3 | 383, 409, 369, 41, 93 |
41 | 383, 409, 123, 41, 31 |
383, 409, 3, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 383 x 409 x 3 x 1 x 31 = 14335080264
Therefore, the lowest common multiple of 766,409,738,328,744 is 14335080264.
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.
766 x 409 x 738 x 328 x 744 = 56422875919104
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.
766 : 1, 2, 383, 766
409 : 1, 409
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
328 : 1, 2, 4, 8, 41, 82, 164, 328
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,409,738,328,744, is 1.
Now, the common factors can be found like this.
766:2x 383
409:409
738:2x 3x 3x 41
328:2x 2x 2x 41
744:2x 2x 2x 3x 31
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 2x 2x 2x 3x 41 = 3936
Therefore, the value for common factors is 3936.
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 = 56422875919104/(1x3936)
LCM = 56422875919104/3936
LCM = 14335080264
Thus, we can understand that the LCM of 766,409,738,328,744 is 14335080264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 766, 409, 738, 328, 744?
Answer: LCM of 766, 409, 738, 328, 744 is 14335080264.
2. How to calculate the LCM of 766, 409, 738, 328, 744?
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 766, 409, 738, 328, 744.
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}.