Find the LCM of 409, 211, 473, 297, 152 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 409, 211, 473, 297, 152. So, keep reading to learn more.
Given numbers are 409,211,473,297,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,211,473,297,152 is 167522928408.
Find LCM of 409,211,473,297,152 with Prime Factorization
11 | 409, 211, 473, 297, 152 |
409, 211, 43, 27, 152 |
Multiply the prime numbers at the bottom and the left side.
11 x 409 x 211 x 43 x 27 x 152 = 167522928408
Therefore, the lowest common multiple of 409,211,473,297,152 is 167522928408.
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.
409 x 211 x 473 x 297 x 152 = 1842752212488
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.
409 : 1, 409
211 : 1, 211
473 : 1, 11, 43, 473
297 : 1, 3, 9, 11, 27, 33, 99, 297
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,211,473,297,152, is 1.
Now, the common factors can be found like this.
409:409
211:211
473:11x 43
297:3x 3x 3x 11
152:2x 2x 2x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 1842752212488/(1x11)
LCM = 1842752212488/11
LCM = 167522928408
Thus, we can understand that the LCM of 409,211,473,297,152 is 167522928408.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 409, 211, 473, 297, 152?
Answer: LCM of 409, 211, 473, 297, 152 is 167522928408.
2. How to calculate the LCM of 409, 211, 473, 297, 152?
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 409, 211, 473, 297, 152.
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}.