LCM of 590, 570, 649, 472
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 570, 649, 472 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 590, 570, 649, 472. So, keep reading to learn more.
Given numbers are 590,570,649,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,570,649,472 is 1479720.
Find LCM of 590,570,649,472 with Prime Factorization
| 2 | 590, 570, 649, 472 |
| 5 | 295, 285, 649, 236 |
| 59 | 59, 57, 649, 236 |
| 1, 57, 11, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 59 x 1 x 57 x 11 x 4 = 1479720
Therefore, the lowest common multiple of 590,570,649,472 is 1479720.
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.
590 x 570 x 649 x 472 = 103018106400
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
649 : 1, 11, 59, 649
472 : 1, 2, 4, 8, 59, 118, 236, 472
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,570,649,472, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
570:2x 3x 5x 19
649:11x 59
472:2x 2x 2x 59
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 5x 59x 59 = 69620
Therefore, the value for common factors is 69620.
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 = 103018106400/(1x69620)
LCM = 103018106400/69620
LCM = 1479720
Thus, we can understand that the LCM of 590,570,649,472 is 1479720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 590, 570, 649, 472
1. What is the LCM of 590, 570, 649, 472?
Answer: LCM of 590, 570, 649, 472 is 1479720.
2. How to calculate the LCM of 590, 570, 649, 472?
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 590, 570, 649, 472.
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}.