LCM of 735, 450, 348, 219, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 450, 348, 219, 418 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 735, 450, 348, 219, 418. So, keep reading to learn more.
Given numbers are 735,450,348,219,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,450,348,219,418 is 19512177300.
Find LCM of 735,450,348,219,418 with Prime Factorization
| 2 | 735, 450, 348, 219, 418 |
| 3 | 735, 225, 174, 219, 209 |
| 5 | 245, 75, 58, 73, 209 |
| 49, 15, 58, 73, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 49 x 15 x 58 x 73 x 209 = 19512177300
Therefore, the lowest common multiple of 735,450,348,219,418 is 19512177300.
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.
735 x 450 x 348 x 219 x 418 = 10536575742000
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
219 : 1, 3, 73, 219
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,450,348,219,418, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
450:2x 3x 3x 5x 5
348:2x 2x 3x 29
219:3x 73
418:2x 11x 19
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 10536575742000/(1x540)
LCM = 10536575742000/540
LCM = 19512177300
Thus, we can understand that the LCM of 735,450,348,219,418 is 19512177300.
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FAQs on LCM of 735, 450, 348, 219, 418
1. What is the LCM of 735, 450, 348, 219, 418?
Answer: LCM of 735, 450, 348, 219, 418 is 19512177300.
2. How to calculate the LCM of 735, 450, 348, 219, 418?
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 735, 450, 348, 219, 418.
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}.