LCM of 309, 399, 148, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 399, 148, 357 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 309, 399, 148, 357. So, keep reading to learn more.
Given numbers are 309,399,148,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,399,148,357 is 103400052.
Find LCM of 309,399,148,357 with Prime Factorization
| 3 | 309, 399, 148, 357 |
| 7 | 103, 133, 148, 119 |
| 103, 19, 148, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 103 x 19 x 148 x 17 = 103400052
Therefore, the lowest common multiple of 309,399,148,357 is 103400052.
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.
309 x 399 x 148 x 357 = 6514203276
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.
309 : 1, 3, 103, 309
399 : 1, 3, 7, 19, 21, 57, 133, 399
148 : 1, 2, 4, 37, 74, 148
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,399,148,357, is 1.
Now, the common factors can be found like this.
309:3x 103
399:3x 7x 19
148:2x 2x 37
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7 = 63
Therefore, the value for common factors is 63.
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 = 6514203276/(1x63)
LCM = 6514203276/63
LCM = 103400052
Thus, we can understand that the LCM of 309,399,148,357 is 103400052.
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FAQs on LCM of 309, 399, 148, 357
1. What is the LCM of 309, 399, 148, 357?
Answer: LCM of 309, 399, 148, 357 is 103400052.
2. How to calculate the LCM of 309, 399, 148, 357?
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 309, 399, 148, 357.
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}.