LCM of 418, 340, 345, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 340, 345, 735 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 418, 340, 345, 735. So, keep reading to learn more.
Given numbers are 418,340,345,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,340,345,735 is 240253860.
Find LCM of 418,340,345,735 with Prime Factorization
| 2 | 418, 340, 345, 735 |
| 3 | 209, 170, 345, 735 |
| 5 | 209, 170, 115, 245 |
| 209, 34, 23, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 209 x 34 x 23 x 49 = 240253860
Therefore, the lowest common multiple of 418,340,345,735 is 240253860.
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.
418 x 340 x 345 x 735 = 36038079000
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
345 : 1, 3, 5, 15, 23, 69, 115, 345
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,340,345,735, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
340:2x 2x 5x 17
345:3x 5x 23
735:3x 5x 7x 7
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 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 36038079000/(1x150)
LCM = 36038079000/150
LCM = 240253860
Thus, we can understand that the LCM of 418,340,345,735 is 240253860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 340, 345, 735
1. What is the LCM of 418, 340, 345, 735?
Answer: LCM of 418, 340, 345, 735 is 240253860.
2. How to calculate the LCM of 418, 340, 345, 735?
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 418, 340, 345, 735.
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}.