LCM of 570, 588, 167, 955, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 588, 167, 955, 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 570, 588, 167, 955, 858. So, keep reading to learn more.
Given numbers are 570,588,167,955,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,588,167,955,858 is 254792598060.
Find LCM of 570,588,167,955,858 with Prime Factorization
| 2 | 570, 588, 167, 955, 858 |
| 3 | 285, 294, 167, 955, 429 |
| 5 | 95, 98, 167, 955, 143 |
| 19, 98, 167, 191, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 98 x 167 x 191 x 143 = 254792598060
Therefore, the lowest common multiple of 570,588,167,955,858 is 254792598060.
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.
570 x 588 x 167 x 955 x 858 = 45862667650800
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
167 : 1, 167
955 : 1, 5, 191, 955
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 570,588,167,955,858, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
588:2x 2x 3x 7x 7
167:167
955:5x 191
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 45862667650800/(1x180)
LCM = 45862667650800/180
LCM = 254792598060
Thus, we can understand that the LCM of 570,588,167,955,858 is 254792598060.
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FAQs on LCM of 570, 588, 167, 955, 858
1. What is the LCM of 570, 588, 167, 955, 858?
Answer: LCM of 570, 588, 167, 955, 858 is 254792598060.
2. How to calculate the LCM of 570, 588, 167, 955, 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 570, 588, 167, 955, 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}.