LCM of 357, 456, 333, 543, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 456, 333, 543, 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 357, 456, 333, 543, 148. So, keep reading to learn more.
Given numbers are 357,456,333,543,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,456,333,543,148 is 1090218024.
Find LCM of 357,456,333,543,148 with Prime Factorization
| 2 | 357, 456, 333, 543, 148 |
| 2 | 357, 228, 333, 543, 74 |
| 3 | 357, 114, 333, 543, 37 |
| 37 | 119, 38, 111, 181, 37 |
| 119, 38, 3, 181, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 119 x 38 x 3 x 181 x 1 = 1090218024
Therefore, the lowest common multiple of 357,456,333,543,148 is 1090218024.
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.
357 x 456 x 333 x 543 x 148 = 4356511223904
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
333 : 1, 3, 9, 37, 111, 333
543 : 1, 3, 181, 543
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 357,456,333,543,148, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
456:2x 2x 2x 3x 19
333:3x 3x 37
543:3x 181
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 3x 3x 3x 37 = 3996
Therefore, the value for common factors is 3996.
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 = 4356511223904/(1x3996)
LCM = 4356511223904/3996
LCM = 1090218024
Thus, we can understand that the LCM of 357,456,333,543,148 is 1090218024.
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FAQs on LCM of 357, 456, 333, 543, 148
1. What is the LCM of 357, 456, 333, 543, 148?
Answer: LCM of 357, 456, 333, 543, 148 is 1090218024.
2. How to calculate the LCM of 357, 456, 333, 543, 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 357, 456, 333, 543, 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}.