LCM of 473, 358, 170, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 358, 170, 168 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 473, 358, 170, 168. So, keep reading to learn more.
Given numbers are 473,358,170,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,358,170,168 is 1209044760.
Find LCM of 473,358,170,168 with Prime Factorization
| 2 | 473, 358, 170, 168 |
| 473, 179, 85, 84 |
Multiply the prime numbers at the bottom and the left side.
2 x 473 x 179 x 85 x 84 = 1209044760
Therefore, the lowest common multiple of 473,358,170,168 is 1209044760.
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.
473 x 358 x 170 x 168 = 4836179040
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.
473 : 1, 11, 43, 473
358 : 1, 2, 179, 358
170 : 1, 2, 5, 10, 17, 34, 85, 170
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,358,170,168, is 1.
Now, the common factors can be found like this.
473:11x 43
358:2x 179
170:2x 5x 17
168:2x 2x 2x 3x 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 2 = 4
Therefore, the value for common factors is 4.
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 = 4836179040/(1x4)
LCM = 4836179040/4
LCM = 1209044760
Thus, we can understand that the LCM of 473,358,170,168 is 1209044760.
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FAQs on LCM of 473, 358, 170, 168
1. What is the LCM of 473, 358, 170, 168?
Answer: LCM of 473, 358, 170, 168 is 1209044760.
2. How to calculate the LCM of 473, 358, 170, 168?
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 473, 358, 170, 168.
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}.