LCM of 152, 210, 306, 148, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 152, 210, 306, 148, 578 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 152, 210, 306, 148, 578. So, keep reading to learn more.
Given numbers are 152,210,306,148,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,210,306,148,578 is 511980840.
Find LCM of 152,210,306,148,578 with Prime Factorization
| 2 | 152, 210, 306, 148, 578 |
| 2 | 76, 105, 153, 74, 289 |
| 3 | 38, 105, 153, 37, 289 |
| 17 | 38, 35, 51, 37, 289 |
| 38, 35, 3, 37, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 38 x 35 x 3 x 37 x 17 = 511980840
Therefore, the lowest common multiple of 152,210,306,148,578 is 511980840.
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.
152 x 210 x 306 x 148 x 578 = 835552730880
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
148 : 1, 2, 4, 37, 74, 148
578 : 1, 2, 17, 34, 289, 578
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,210,306,148,578, is 2.
Now, the common factors can be found like this.
152:2x 2x 2x 19
210:2x 3x 5x 7
306:2x 3x 3x 17
148:2x 2x 37
578:2x 17x 17
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 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 835552730880/(2x816)
LCM = 835552730880/1632
LCM = 511980840
Thus, we can understand that the LCM of 152,210,306,148,578 is 511980840.
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FAQs on LCM of 152, 210, 306, 148, 578
1. What is the LCM of 152, 210, 306, 148, 578?
Answer: LCM of 152, 210, 306, 148, 578 is 511980840.
2. How to calculate the LCM of 152, 210, 306, 148, 578?
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 152, 210, 306, 148, 578.
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}.