LCM of 392, 735, 466, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 735, 466, 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 392, 735, 466, 220. So, keep reading to learn more.
Given numbers are 392,735,466,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,735,466,220 is 15070440.
Find LCM of 392,735,466,220 with Prime Factorization
| 2 | 392, 735, 466, 220 |
| 2 | 196, 735, 233, 110 |
| 5 | 98, 735, 233, 55 |
| 7 | 98, 147, 233, 11 |
| 7 | 14, 21, 233, 11 |
| 2, 3, 233, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 7 x 2 x 3 x 233 x 11 = 15070440
Therefore, the lowest common multiple of 392,735,466,220 is 15070440.
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.
392 x 735 x 466 x 220 = 29538062400
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
466 : 1, 2, 233, 466
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,735,466,220, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
735:3x 5x 7x 7
466:2x 233
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 5x 7x 7 = 1960
Therefore, the value for common factors is 1960.
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 = 29538062400/(1x1960)
LCM = 29538062400/1960
LCM = 15070440
Thus, we can understand that the LCM of 392,735,466,220 is 15070440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 392, 735, 466, 220
1. What is the LCM of 392, 735, 466, 220?
Answer: LCM of 392, 735, 466, 220 is 15070440.
2. How to calculate the LCM of 392, 735, 466, 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 392, 735, 466, 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}.