LCM of 476, 930, 391, 753, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 930, 391, 753, 600 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 476, 930, 391, 753, 600. So, keep reading to learn more.
Given numbers are 476,930,391,753,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,930,391,753,600 is 12777958200.
Find LCM of 476,930,391,753,600 with Prime Factorization
| 2 | 476, 930, 391, 753, 600 |
| 2 | 238, 465, 391, 753, 300 |
| 3 | 119, 465, 391, 753, 150 |
| 5 | 119, 155, 391, 251, 50 |
| 17 | 119, 31, 391, 251, 10 |
| 7, 31, 23, 251, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 7 x 31 x 23 x 251 x 10 = 12777958200
Therefore, the lowest common multiple of 476,930,391,753,600 is 12777958200.
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.
476 x 930 x 391 x 753 x 600 = 78201104184000
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
391 : 1, 17, 23, 391
753 : 1, 3, 251, 753
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,930,391,753,600, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
930:2x 3x 5x 31
391:17x 23
753:3x 251
600:2x 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 3x 3x 5x 17 = 6120
Therefore, the value for common factors is 6120.
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 = 78201104184000/(1x6120)
LCM = 78201104184000/6120
LCM = 12777958200
Thus, we can understand that the LCM of 476,930,391,753,600 is 12777958200.
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FAQs on LCM of 476, 930, 391, 753, 600
1. What is the LCM of 476, 930, 391, 753, 600?
Answer: LCM of 476, 930, 391, 753, 600 is 12777958200.
2. How to calculate the LCM of 476, 930, 391, 753, 600?
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 476, 930, 391, 753, 600.
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}.