LCM of 358, 895, 482, 544, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 895, 482, 544, 901 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, 895, 482, 544, 901. So, keep reading to learn more.
Given numbers are 358,895,482,544,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,895,482,544,901 is 6218918240.
Find LCM of 358,895,482,544,901 with Prime Factorization
| 2 | 358, 895, 482, 544, 901 |
| 17 | 179, 895, 241, 272, 901 |
| 179 | 179, 895, 241, 16, 53 |
| 1, 5, 241, 16, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 179 x 1 x 5 x 241 x 16 x 53 = 6218918240
Therefore, the lowest common multiple of 358,895,482,544,901 is 6218918240.
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 895 x 482 x 544 x 901 = 75696672817280
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
895 : 1, 5, 179, 895
482 : 1, 2, 241, 482
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,895,482,544,901, is 1.
Now, the common factors can be found like this.
358:2x 179
895:5x 179
482:2x 241
544:2x 2x 2x 2x 2x 17
901:17x 53
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 17x 179 = 12172
Therefore, the value for common factors is 12172.
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 = 75696672817280/(1x12172)
LCM = 75696672817280/12172
LCM = 6218918240
Thus, we can understand that the LCM of 358,895,482,544,901 is 6218918240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 358, 895, 482, 544, 901
1. What is the LCM of 358, 895, 482, 544, 901?
Answer: LCM of 358, 895, 482, 544, 901 is 6218918240.
2. How to calculate the LCM of 358, 895, 482, 544, 901?
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, 895, 482, 544, 901.
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}.