LCM of 494, 362, 919, 442, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 362, 919, 442, 672 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 494, 362, 919, 442, 672. So, keep reading to learn more.
Given numbers are 494,362,919,442,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,362,919,442,672 is 469363413792.
Find LCM of 494,362,919,442,672 with Prime Factorization
| 2 | 494, 362, 919, 442, 672 |
| 13 | 247, 181, 919, 221, 336 |
| 19, 181, 919, 17, 336 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 181 x 919 x 17 x 336 = 469363413792
Therefore, the lowest common multiple of 494,362,919,442,672 is 469363413792.
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.
494 x 362 x 919 x 442 x 672 = 48813795034368
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
362 : 1, 2, 181, 362
919 : 1, 919
442 : 1, 2, 13, 17, 26, 34, 221, 442
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,362,919,442,672, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
362:2x 181
919:919
442:2x 13x 17
672:2x 2x 2x 2x 2x 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 2x 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 48813795034368/(1x104)
LCM = 48813795034368/104
LCM = 469363413792
Thus, we can understand that the LCM of 494,362,919,442,672 is 469363413792.
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FAQs on LCM of 494, 362, 919, 442, 672
1. What is the LCM of 494, 362, 919, 442, 672?
Answer: LCM of 494, 362, 919, 442, 672 is 469363413792.
2. How to calculate the LCM of 494, 362, 919, 442, 672?
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 494, 362, 919, 442, 672.
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}.