LCM of 181, 782, 368, 916, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 181, 782, 368, 916, 758 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 181, 782, 368, 916, 758. So, keep reading to learn more.
Given numbers are 181,782,368,916,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,782,368,916,758 is 98276573776.
Find LCM of 181,782,368,916,758 with Prime Factorization
| 2 | 181, 782, 368, 916, 758 |
| 2 | 181, 391, 184, 458, 379 |
| 23 | 181, 391, 92, 229, 379 |
| 181, 17, 4, 229, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 181 x 17 x 4 x 229 x 379 = 98276573776
Therefore, the lowest common multiple of 181,782,368,916,758 is 98276573776.
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.
181 x 782 x 368 x 916 x 758 = 36165779149568
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.
181 : 1, 181
782 : 1, 2, 17, 23, 34, 46, 391, 782
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
916 : 1, 2, 4, 229, 458, 916
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,782,368,916,758, is 1.
Now, the common factors can be found like this.
181:181
782:2x 17x 23
368:2x 2x 2x 2x 23
916:2x 2x 229
758:2x 379
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 23 = 368
Therefore, the value for common factors is 368.
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 = 36165779149568/(1x368)
LCM = 36165779149568/368
LCM = 98276573776
Thus, we can understand that the LCM of 181,782,368,916,758 is 98276573776.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 181, 782, 368, 916, 758
1. What is the LCM of 181, 782, 368, 916, 758?
Answer: LCM of 181, 782, 368, 916, 758 is 98276573776.
2. How to calculate the LCM of 181, 782, 368, 916, 758?
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 181, 782, 368, 916, 758.
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}.