LCM of 530, 666, 120, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 530, 666, 120, 314 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 530, 666, 120, 314. So, keep reading to learn more.
Given numbers are 530,666,120,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 530,666,120,314 is 110835720.
Find LCM of 530,666,120,314 with Prime Factorization
| 2 | 530, 666, 120, 314 |
| 3 | 265, 333, 60, 157 |
| 5 | 265, 111, 20, 157 |
| 53, 111, 4, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 53 x 111 x 4 x 157 = 110835720
Therefore, the lowest common multiple of 530,666,120,314 is 110835720.
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.
530 x 666 x 120 x 314 = 13300286400
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.
530 : 1, 2, 5, 10, 53, 106, 265, 530
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
314 : 1, 2, 157, 314
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,666,120,314, is 2.
Now, the common factors can be found like this.
530:2x 5x 53
666:2x 3x 3x 37
120:2x 2x 2x 3x 5
314:2x 157
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 13300286400/(2x60)
LCM = 13300286400/120
LCM = 110835720
Thus, we can understand that the LCM of 530,666,120,314 is 110835720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 530, 666, 120, 314
1. What is the LCM of 530, 666, 120, 314?
Answer: LCM of 530, 666, 120, 314 is 110835720.
2. How to calculate the LCM of 530, 666, 120, 314?
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 530, 666, 120, 314.
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}.