Find the LCM of 153, 540, 942, 329, 774 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 153, 540, 942, 329, 774. So, keep reading to learn more.
Given numbers are 153,540,942,329,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,540,942,329,774 is 20389505220.
Find LCM of 153,540,942,329,774 with Prime Factorization
2 | 153, 540, 942, 329, 774 |
3 | 153, 270, 471, 329, 387 |
3 | 51, 90, 157, 329, 129 |
17, 30, 157, 329, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 30 x 157 x 329 x 43 = 20389505220
Therefore, the lowest common multiple of 153,540,942,329,774 is 20389505220.
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.
153 x 540 x 942 x 329 x 774 = 19818599073840
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.
153 : 1, 3, 9, 17, 51, 153
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
942 : 1, 2, 3, 6, 157, 314, 471, 942
329 : 1, 7, 47, 329
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,540,942,329,774, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
540:2x 2x 3x 3x 3x 5
942:2x 3x 157
329:7x 47
774:2x 3x 3x 43
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 3x 3x 3x 3x 3 = 972
Therefore, the value for common factors is 972.
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 = 19818599073840/(1x972)
LCM = 19818599073840/972
LCM = 20389505220
Thus, we can understand that the LCM of 153,540,942,329,774 is 20389505220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 153, 540, 942, 329, 774?
Answer: LCM of 153, 540, 942, 329, 774 is 20389505220.
2. How to calculate the LCM of 153, 540, 942, 329, 774?
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 153, 540, 942, 329, 774.
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}.