LCM of 437, 884, 378, 392, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 884, 378, 392, 468 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 437, 884, 378, 392, 468. So, keep reading to learn more.
Given numbers are 437,884,378,392,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,884,378,392,468 is 1022170968.
Find LCM of 437,884,378,392,468 with Prime Factorization
| 2 | 437, 884, 378, 392, 468 |
| 2 | 437, 442, 189, 196, 234 |
| 3 | 437, 221, 189, 98, 117 |
| 3 | 437, 221, 63, 98, 39 |
| 7 | 437, 221, 21, 98, 13 |
| 13 | 437, 221, 3, 14, 13 |
| 437, 17, 3, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 13 x 437 x 17 x 3 x 14 x 1 = 1022170968
Therefore, the lowest common multiple of 437,884,378,392,468 is 1022170968.
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.
437 x 884 x 378 x 392 x 468 = 26789056729344
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.
437 : 1, 19, 23, 437
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,884,378,392,468, is 1.
Now, the common factors can be found like this.
437:19x 23
884:2x 2x 13x 17
378:2x 3x 3x 3x 7
392:2x 2x 2x 7x 7
468:2x 2x 3x 3x 13
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 2x 2x 3x 3x 7x 13 = 26208
Therefore, the value for common factors is 26208.
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 = 26789056729344/(1x26208)
LCM = 26789056729344/26208
LCM = 1022170968
Thus, we can understand that the LCM of 437,884,378,392,468 is 1022170968.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 437, 884, 378, 392, 468
1. What is the LCM of 437, 884, 378, 392, 468?
Answer: LCM of 437, 884, 378, 392, 468 is 1022170968.
2. How to calculate the LCM of 437, 884, 378, 392, 468?
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 437, 884, 378, 392, 468.
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}.