LCM of 319, 760, 435, 361, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 760, 435, 361, 378 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 319, 760, 435, 361, 378. So, keep reading to learn more.
Given numbers are 319,760,435,361,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,760,435,361,378 is 870602040.
Find LCM of 319,760,435,361,378 with Prime Factorization
| 2 | 319, 760, 435, 361, 378 |
| 3 | 319, 380, 435, 361, 189 |
| 5 | 319, 380, 145, 361, 63 |
| 19 | 319, 76, 29, 361, 63 |
| 29 | 319, 4, 29, 19, 63 |
| 11, 4, 1, 19, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 29 x 11 x 4 x 1 x 19 x 63 = 870602040
Therefore, the lowest common multiple of 319,760,435,361,378 is 870602040.
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.
319 x 760 x 435 x 361 x 378 = 14391051721200
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.
319 : 1, 11, 29, 319
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
435 : 1, 3, 5, 15, 29, 87, 145, 435
361 : 1, 19, 361
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,760,435,361,378, is 1.
Now, the common factors can be found like this.
319:11x 29
760:2x 2x 2x 5x 19
435:3x 5x 29
361:19x 19
378:2x 3x 3x 3x 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 19x 29 = 16530
Therefore, the value for common factors is 16530.
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 = 14391051721200/(1x16530)
LCM = 14391051721200/16530
LCM = 870602040
Thus, we can understand that the LCM of 319,760,435,361,378 is 870602040.
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FAQs on LCM of 319, 760, 435, 361, 378
1. What is the LCM of 319, 760, 435, 361, 378?
Answer: LCM of 319, 760, 435, 361, 378 is 870602040.
2. How to calculate the LCM of 319, 760, 435, 361, 378?
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 319, 760, 435, 361, 378.
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}.