LCM of 347, 546, 645, 620, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 546, 645, 620, 865 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, 546, 645, 620, 865. So, keep reading to learn more.
Given numbers are 347,546,645,620,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,546,645,620,865 is 436916423580.
Find LCM of 347,546,645,620,865 with Prime Factorization
| 2 | 347, 546, 645, 620, 865 |
| 3 | 347, 273, 645, 310, 865 |
| 5 | 347, 91, 215, 310, 865 |
| 347, 91, 43, 62, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 347 x 91 x 43 x 62 x 173 = 436916423580
Therefore, the lowest common multiple of 347,546,645,620,865 is 436916423580.
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 546 x 645 x 620 x 865 = 65537463537000
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
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
645 : 1, 3, 5, 15, 43, 129, 215, 645
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,546,645,620,865, is 1.
Now, the common factors can be found like this.
347:347
546:2x 3x 7x 13
645:3x 5x 43
620:2x 2x 5x 31
865:5x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 65537463537000/(1x150)
LCM = 65537463537000/150
LCM = 436916423580
Thus, we can understand that the LCM of 347,546,645,620,865 is 436916423580.
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FAQs on LCM of 347, 546, 645, 620, 865
1. What is the LCM of 347, 546, 645, 620, 865?
Answer: LCM of 347, 546, 645, 620, 865 is 436916423580.
2. How to calculate the LCM of 347, 546, 645, 620, 865?
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, 546, 645, 620, 865.
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}.