LCM of 347, 858, 654, 952, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 858, 654, 952, 300 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 347, 858, 654, 952, 300. So, keep reading to learn more.
Given numbers are 347,858,654,952,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,858,654,952,300 is 386180394600.
Find LCM of 347,858,654,952,300 with Prime Factorization
| 2 | 347, 858, 654, 952, 300 |
| 2 | 347, 429, 327, 476, 150 |
| 3 | 347, 429, 327, 238, 75 |
| 347, 143, 109, 238, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 347 x 143 x 109 x 238 x 25 = 386180394600
Therefore, the lowest common multiple of 347,858,654,952,300 is 386180394600.
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.
347 x 858 x 654 x 952 x 300 = 55609976822400
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.
347 : 1, 347
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
654 : 1, 2, 3, 6, 109, 218, 327, 654
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,858,654,952,300, is 1.
Now, the common factors can be found like this.
347:347
858:2x 3x 11x 13
654:2x 3x 109
952:2x 2x 2x 7x 17
300:2x 2x 3x 5x 5
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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 55609976822400/(1x144)
LCM = 55609976822400/144
LCM = 386180394600
Thus, we can understand that the LCM of 347,858,654,952,300 is 386180394600.
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FAQs on LCM of 347, 858, 654, 952, 300
1. What is the LCM of 347, 858, 654, 952, 300?
Answer: LCM of 347, 858, 654, 952, 300 is 386180394600.
2. How to calculate the LCM of 347, 858, 654, 952, 300?
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 347, 858, 654, 952, 300.
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}.