LCM of 437, 768, 654, 176, 358
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 768, 654, 176, 358 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 437, 768, 654, 176, 358. So, keep reading to learn more.
Given numbers are 437,768,654,176,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,768,654,176,358 is 72030241536.
Find LCM of 437,768,654,176,358 with Prime Factorization
| 2 | 437, 768, 654, 176, 358 |
| 2 | 437, 384, 327, 88, 179 |
| 2 | 437, 192, 327, 44, 179 |
| 2 | 437, 96, 327, 22, 179 |
| 3 | 437, 48, 327, 11, 179 |
| 437, 16, 109, 11, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 437 x 16 x 109 x 11 x 179 = 72030241536
Therefore, the lowest common multiple of 437,768,654,176,358 is 72030241536.
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.
437 x 768 x 654 x 176 x 358 = 13829806374912
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.
437 : 1, 19, 23, 437
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
654 : 1, 2, 3, 6, 109, 218, 327, 654
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,768,654,176,358, is 1.
Now, the common factors can be found like this.
437:19x 23
768:2x 2x 2x 2x 2x 2x 2x 2x 3
654:2x 3x 109
176:2x 2x 2x 2x 11
358:2x 179
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 13829806374912/(1x192)
LCM = 13829806374912/192
LCM = 72030241536
Thus, we can understand that the LCM of 437,768,654,176,358 is 72030241536.
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FAQs on LCM of 437, 768, 654, 176, 358
1. What is the LCM of 437, 768, 654, 176, 358?
Answer: LCM of 437, 768, 654, 176, 358 is 72030241536.
2. How to calculate the LCM of 437, 768, 654, 176, 358?
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 437, 768, 654, 176, 358.
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}.