LCM of 358, 132, 429, 370, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 132, 429, 370, 238 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, 132, 429, 370, 238. So, keep reading to learn more.
Given numbers are 358,132,429,370,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,132,429,370,238 is 6762215460.
Find LCM of 358,132,429,370,238 with Prime Factorization
| 2 | 358, 132, 429, 370, 238 |
| 3 | 179, 66, 429, 185, 119 |
| 11 | 179, 22, 143, 185, 119 |
| 179, 2, 13, 185, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 179 x 2 x 13 x 185 x 119 = 6762215460
Therefore, the lowest common multiple of 358,132,429,370,238 is 6762215460.
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 132 x 429 x 370 x 238 = 1785224881440
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
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
429 : 1, 3, 11, 13, 33, 39, 143, 429
370 : 1, 2, 5, 10, 37, 74, 185, 370
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,132,429,370,238, is 1.
Now, the common factors can be found like this.
358:2x 179
132:2x 2x 3x 11
429:3x 11x 13
370:2x 5x 37
238:2x 7x 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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 1785224881440/(1x264)
LCM = 1785224881440/264
LCM = 6762215460
Thus, we can understand that the LCM of 358,132,429,370,238 is 6762215460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 358, 132, 429, 370, 238
1. What is the LCM of 358, 132, 429, 370, 238?
Answer: LCM of 358, 132, 429, 370, 238 is 6762215460.
2. How to calculate the LCM of 358, 132, 429, 370, 238?
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, 132, 429, 370, 238.
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}.