LCM of 440, 420, 318, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 420, 318, 106 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 440, 420, 318, 106. So, keep reading to learn more.
Given numbers are 440,420,318,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,420,318,106 is 489720.
Find LCM of 440,420,318,106 with Prime Factorization
| 2 | 440, 420, 318, 106 |
| 2 | 220, 210, 159, 53 |
| 3 | 110, 105, 159, 53 |
| 5 | 110, 35, 53, 53 |
| 53 | 22, 7, 53, 53 |
| 22, 7, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 53 x 22 x 7 x 1 x 1 = 489720
Therefore, the lowest common multiple of 440,420,318,106 is 489720.
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.
440 x 420 x 318 x 106 = 6229238400
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
318 : 1, 2, 3, 6, 53, 106, 159, 318
106 : 1, 2, 53, 106
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,420,318,106, is 2.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
420:2x 2x 3x 5x 7
318:2x 3x 53
106:2x 53
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 3x 5x 53 = 6360
Therefore, the value for common factors is 6360.
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 = 6229238400/(2x6360)
LCM = 6229238400/12720
LCM = 489720
Thus, we can understand that the LCM of 440,420,318,106 is 489720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 440, 420, 318, 106
1. What is the LCM of 440, 420, 318, 106?
Answer: LCM of 440, 420, 318, 106 is 489720.
2. How to calculate the LCM of 440, 420, 318, 106?
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 440, 420, 318, 106.
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}.