Find the LCM of 153, 764, 837, 294, 147 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, 764, 837, 294, 147. So, keep reading to learn more.
Given numbers are 153,764,837,294,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,764,837,294,147 is 532676844.
Find LCM of 153,764,837,294,147 with Prime Factorization
2 | 153, 764, 837, 294, 147 |
3 | 153, 382, 837, 147, 147 |
3 | 51, 382, 279, 49, 49 |
7 | 17, 382, 93, 49, 49 |
7 | 17, 382, 93, 7, 7 |
17, 382, 93, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 7 x 17 x 382 x 93 x 1 x 1 = 532676844
Therefore, the lowest common multiple of 153,764,837,294,147 is 532676844.
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 764 x 837 x 294 x 147 = 4228388787672
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
764 : 1, 2, 4, 191, 382, 764
837 : 1, 3, 9, 27, 31, 93, 279, 837
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,764,837,294,147, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
764:2x 2x 191
837:3x 3x 3x 31
294:2x 3x 7x 7
147:3x 7x 7
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 7x 7 = 7938
Therefore, the value for common factors is 7938.
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 = 4228388787672/(1x7938)
LCM = 4228388787672/7938
LCM = 532676844
Thus, we can understand that the LCM of 153,764,837,294,147 is 532676844.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 153, 764, 837, 294, 147?
Answer: LCM of 153, 764, 837, 294, 147 is 532676844.
2. How to calculate the LCM of 153, 764, 837, 294, 147?
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, 764, 837, 294, 147.
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}.