LCM of 358, 429, 995, 160, 193
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 429, 995, 160, 193 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 358, 429, 995, 160, 193. So, keep reading to learn more.
Given numbers are 358,429,995,160,193
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,429,995,160,193 is 471889909920.
Find LCM of 358,429,995,160,193 with Prime Factorization
| 2 | 358, 429, 995, 160, 193 |
| 5 | 179, 429, 995, 80, 193 |
| 179, 429, 199, 16, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 179 x 429 x 199 x 16 x 193 = 471889909920
Therefore, the lowest common multiple of 358,429,995,160,193 is 471889909920.
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.
358 x 429 x 995 x 160 x 193 = 4718899099200
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.
358 : 1, 2, 179, 358
429 : 1, 3, 11, 13, 33, 39, 143, 429
995 : 1, 5, 199, 995
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
193 : 1, 193
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,429,995,160,193, is 1.
Now, the common factors can be found like this.
358:2x 179
429:3x 11x 13
995:5x 199
160:2x 2x 2x 2x 2x 5
193:193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 4718899099200/(1x10)
LCM = 4718899099200/10
LCM = 471889909920
Thus, we can understand that the LCM of 358,429,995,160,193 is 471889909920.
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FAQs on LCM of 358, 429, 995, 160, 193
1. What is the LCM of 358, 429, 995, 160, 193?
Answer: LCM of 358, 429, 995, 160, 193 is 471889909920.
2. How to calculate the LCM of 358, 429, 995, 160, 193?
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 358, 429, 995, 160, 193.
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}.