LCM of 534, 570, 251, 930, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 570, 251, 930, 500 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 534, 570, 251, 930, 500. So, keep reading to learn more.
Given numbers are 534,570,251,930,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,570,251,930,500 is 19736506500.
Find LCM of 534,570,251,930,500 with Prime Factorization
| 2 | 534, 570, 251, 930, 500 |
| 3 | 267, 285, 251, 465, 250 |
| 5 | 89, 95, 251, 155, 250 |
| 89, 19, 251, 31, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 89 x 19 x 251 x 31 x 50 = 19736506500
Therefore, the lowest common multiple of 534,570,251,930,500 is 19736506500.
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.
534 x 570 x 251 x 930 x 500 = 35525711700000
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
251 : 1, 251
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,570,251,930,500, is 1.
Now, the common factors can be found like this.
534:2x 3x 89
570:2x 3x 5x 19
251:251
930:2x 3x 5x 31
500:2x 2x 5x 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 5 = 1800
Therefore, the value for common factors is 1800.
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 = 35525711700000/(1x1800)
LCM = 35525711700000/1800
LCM = 19736506500
Thus, we can understand that the LCM of 534,570,251,930,500 is 19736506500.
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FAQs on LCM of 534, 570, 251, 930, 500
1. What is the LCM of 534, 570, 251, 930, 500?
Answer: LCM of 534, 570, 251, 930, 500 is 19736506500.
2. How to calculate the LCM of 534, 570, 251, 930, 500?
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 534, 570, 251, 930, 500.
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}.