LCM of 353, 874, 345, 544, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 353, 874, 345, 544, 148 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 353, 874, 345, 544, 148. So, keep reading to learn more.
Given numbers are 353,874,345,544,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,874,345,544,148 is 46574481120.
Find LCM of 353,874,345,544,148 with Prime Factorization
| 2 | 353, 874, 345, 544, 148 |
| 2 | 353, 437, 345, 272, 74 |
| 23 | 353, 437, 345, 136, 37 |
| 353, 19, 15, 136, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 353 x 19 x 15 x 136 x 37 = 46574481120
Therefore, the lowest common multiple of 353,874,345,544,148 is 46574481120.
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.
353 x 874 x 345 x 544 x 148 = 8569704526080
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.
353 : 1, 353
874 : 1, 2, 19, 23, 38, 46, 437, 874
345 : 1, 3, 5, 15, 23, 69, 115, 345
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,874,345,544,148, is 1.
Now, the common factors can be found like this.
353:353
874:2x 19x 23
345:3x 5x 23
544:2x 2x 2x 2x 2x 17
148:2x 2x 37
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 23 = 184
Therefore, the value for common factors is 184.
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 = 8569704526080/(1x184)
LCM = 8569704526080/184
LCM = 46574481120
Thus, we can understand that the LCM of 353,874,345,544,148 is 46574481120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 353, 874, 345, 544, 148
1. What is the LCM of 353, 874, 345, 544, 148?
Answer: LCM of 353, 874, 345, 544, 148 is 46574481120.
2. How to calculate the LCM of 353, 874, 345, 544, 148?
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 353, 874, 345, 544, 148.
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}.