LCM of 516, 430, 418, 440, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 516, 430, 418, 440, 220 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 516, 430, 418, 440, 220. So, keep reading to learn more.
Given numbers are 516,430,418,440,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 516,430,418,440,220 is 1078440.
Find LCM of 516,430,418,440,220 with Prime Factorization
| 2 | 516, 430, 418, 440, 220 |
| 2 | 258, 215, 209, 220, 110 |
| 5 | 129, 215, 209, 55, 110 |
| 11 | 129, 43, 209, 11, 22 |
| 43 | 129, 43, 19, 1, 2 |
| 3, 1, 19, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 43 x 3 x 1 x 19 x 1 x 2 = 1078440
Therefore, the lowest common multiple of 516,430,418,440,220 is 1078440.
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.
516 x 430 x 418 x 440 x 220 = 8977797312000
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.
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
430 : 1, 2, 5, 10, 43, 86, 215, 430
418 : 1, 2, 11, 19, 22, 38, 209, 418
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,430,418,440,220, is 2.
Now, the common factors can be found like this.
516:2x 2x 3x 43
430:2x 5x 43
418:2x 11x 19
440:2x 2x 2x 5x 11
220:2x 2x 5x 11
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 5x 5x 11x 11x 43 = 4162400
Therefore, the value for common factors is 4162400.
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 = 8977797312000/(2x4162400)
LCM = 8977797312000/8324800
LCM = 1078440
Thus, we can understand that the LCM of 516,430,418,440,220 is 1078440.
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FAQs on LCM of 516, 430, 418, 440, 220
1. What is the LCM of 516, 430, 418, 440, 220?
Answer: LCM of 516, 430, 418, 440, 220 is 1078440.
2. How to calculate the LCM of 516, 430, 418, 440, 220?
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 516, 430, 418, 440, 220.
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}.