LCM of 623, 309, 510, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 623, 309, 510, 120 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 623, 309, 510, 120. So, keep reading to learn more.
Given numbers are 623,309,510,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 623,309,510,120 is 130904760.
Find LCM of 623,309,510,120 with Prime Factorization
| 2 | 623, 309, 510, 120 |
| 3 | 623, 309, 255, 60 |
| 5 | 623, 103, 85, 20 |
| 623, 103, 17, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 623 x 103 x 17 x 4 = 130904760
Therefore, the lowest common multiple of 623,309,510,120 is 130904760.
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.
623 x 309 x 510 x 120 = 11781428400
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.
623 : 1, 7, 89, 623
309 : 1, 3, 103, 309
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 623,309,510,120, is 1.
Now, the common factors can be found like this.
623:7x 89
309:3x 103
510:2x 3x 5x 17
120:2x 2x 2x 3x 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 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 11781428400/(1x90)
LCM = 11781428400/90
LCM = 130904760
Thus, we can understand that the LCM of 623,309,510,120 is 130904760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 623, 309, 510, 120
1. What is the LCM of 623, 309, 510, 120?
Answer: LCM of 623, 309, 510, 120 is 130904760.
2. How to calculate the LCM of 623, 309, 510, 120?
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 623, 309, 510, 120.
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}.