LCM of 520, 152, 300, 627, 436
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 520, 152, 300, 627, 436 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 520, 152, 300, 627, 436. So, keep reading to learn more.
Given numbers are 520,152,300,627,436
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,152,300,627,436 is 177691800.
Find LCM of 520,152,300,627,436 with Prime Factorization
| 2 | 520, 152, 300, 627, 436 |
| 2 | 260, 76, 150, 627, 218 |
| 2 | 130, 38, 75, 627, 109 |
| 3 | 65, 19, 75, 627, 109 |
| 5 | 65, 19, 25, 209, 109 |
| 19 | 13, 19, 5, 209, 109 |
| 13, 1, 5, 11, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 13 x 1 x 5 x 11 x 109 = 177691800
Therefore, the lowest common multiple of 520,152,300,627,436 is 177691800.
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.
520 x 152 x 300 x 627 x 436 = 6482196864000
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
152 : 1, 2, 4, 8, 19, 38, 76, 152
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
627 : 1, 3, 11, 19, 33, 57, 209, 627
436 : 1, 2, 4, 109, 218, 436
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,152,300,627,436, is 1.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
152:2x 2x 2x 19
300:2x 2x 3x 5x 5
627:3x 11x 19
436:2x 2x 109
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 2x 2x 2x 2x 3x 5x 19 = 36480
Therefore, the value for common factors is 36480.
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 = 6482196864000/(1x36480)
LCM = 6482196864000/36480
LCM = 177691800
Thus, we can understand that the LCM of 520,152,300,627,436 is 177691800.
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FAQs on LCM of 520, 152, 300, 627, 436
1. What is the LCM of 520, 152, 300, 627, 436?
Answer: LCM of 520, 152, 300, 627, 436 is 177691800.
2. How to calculate the LCM of 520, 152, 300, 627, 436?
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 520, 152, 300, 627, 436.
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}.