LCM of 603, 321, 956, 168, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 603, 321, 956, 168, 858 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 603, 321, 956, 168, 858. So, keep reading to learn more.
Given numbers are 603,321,956,168,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 603,321,956,168,858 is 123487516152.
Find LCM of 603,321,956,168,858 with Prime Factorization
| 2 | 603, 321, 956, 168, 858 |
| 2 | 603, 321, 478, 84, 429 |
| 3 | 603, 321, 239, 42, 429 |
| 201, 107, 239, 14, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 201 x 107 x 239 x 14 x 143 = 123487516152
Therefore, the lowest common multiple of 603,321,956,168,858 is 123487516152.
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.
603 x 321 x 956 x 168 x 858 = 26673303488832
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.
603 : 1, 3, 9, 67, 201, 603
321 : 1, 3, 107, 321
956 : 1, 2, 4, 239, 478, 956
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,321,956,168,858, is 1.
Now, the common factors can be found like this.
603:3x 3x 67
321:3x 107
956:2x 2x 239
168:2x 2x 2x 3x 7
858:2x 3x 11x 13
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 26673303488832/(1x216)
LCM = 26673303488832/216
LCM = 123487516152
Thus, we can understand that the LCM of 603,321,956,168,858 is 123487516152.
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FAQs on LCM of 603, 321, 956, 168, 858
1. What is the LCM of 603, 321, 956, 168, 858?
Answer: LCM of 603, 321, 956, 168, 858 is 123487516152.
2. How to calculate the LCM of 603, 321, 956, 168, 858?
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 603, 321, 956, 168, 858.
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}.