Find the LCM of 302, 399, 453, 981, 594 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 302, 399, 453, 981, 594. So, keep reading to learn more.
Given numbers are 302,399,453,981,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,399,453,981,594 is 1300293918.
Find LCM of 302,399,453,981,594 with Prime Factorization
2 | 302, 399, 453, 981, 594 |
3 | 151, 399, 453, 981, 297 |
3 | 151, 133, 151, 327, 99 |
151 | 151, 133, 151, 109, 33 |
1, 133, 1, 109, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 151 x 1 x 133 x 1 x 109 x 33 = 1300293918
Therefore, the lowest common multiple of 302,399,453,981,594 is 1300293918.
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.
302 x 399 x 453 x 981 x 594 = 31807789822116
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.
302 : 1, 2, 151, 302
399 : 1, 3, 7, 19, 21, 57, 133, 399
453 : 1, 3, 151, 453
981 : 1, 3, 9, 109, 327, 981
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,399,453,981,594, is 1.
Now, the common factors can be found like this.
302:2x 151
399:3x 7x 19
453:3x 151
981:3x 3x 109
594:2x 3x 3x 3x 11
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 3x 3x 3x 151 = 24462
Therefore, the value for common factors is 24462.
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 = 31807789822116/(1x24462)
LCM = 31807789822116/24462
LCM = 1300293918
Thus, we can understand that the LCM of 302,399,453,981,594 is 1300293918.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 302, 399, 453, 981, 594?
Answer: LCM of 302, 399, 453, 981, 594 is 1300293918.
2. How to calculate the LCM of 302, 399, 453, 981, 594?
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 302, 399, 453, 981, 594.
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}.