LCM of 103, 201, 746, 352, 201
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 201, 746, 352, 201 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 103, 201, 746, 352, 201. So, keep reading to learn more.
Given numbers are 103,201,746,352,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,201,746,352,201 is 2718221088.
Find LCM of 103,201,746,352,201 with Prime Factorization
| 2 | 103, 201, 746, 352, 201 |
| 3 | 103, 201, 373, 176, 201 |
| 67 | 103, 67, 373, 176, 67 |
| 103, 1, 373, 176, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 103 x 1 x 373 x 176 x 1 = 2718221088
Therefore, the lowest common multiple of 103,201,746,352,201 is 2718221088.
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.
103 x 201 x 746 x 352 x 201 = 1092724877376
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.
103 : 1, 103
201 : 1, 3, 67, 201
746 : 1, 2, 373, 746
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,201,746,352,201, is 1.
Now, the common factors can be found like this.
103:103
201:3x 67
746:2x 373
352:2x 2x 2x 2x 2x 11
201:3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 67 = 402
Therefore, the value for common factors is 402.
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 = 1092724877376/(1x402)
LCM = 1092724877376/402
LCM = 2718221088
Thus, we can understand that the LCM of 103,201,746,352,201 is 2718221088.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 103, 201, 746, 352, 201
1. What is the LCM of 103, 201, 746, 352, 201?
Answer: LCM of 103, 201, 746, 352, 201 is 2718221088.
2. How to calculate the LCM of 103, 201, 746, 352, 201?
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 103, 201, 746, 352, 201.
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}.