LCM of 812, 390, 299, 453, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 390, 299, 453, 628 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 812, 390, 299, 453, 628. So, keep reading to learn more.
Given numbers are 812,390,299,453,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,390,299,453,628 is 86336626740.
Find LCM of 812,390,299,453,628 with Prime Factorization
| 2 | 812, 390, 299, 453, 628 |
| 2 | 406, 195, 299, 453, 314 |
| 3 | 203, 195, 299, 453, 157 |
| 13 | 203, 65, 299, 151, 157 |
| 203, 5, 23, 151, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 203 x 5 x 23 x 151 x 157 = 86336626740
Therefore, the lowest common multiple of 812,390,299,453,628 is 86336626740.
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.
812 x 390 x 299 x 453 x 628 = 26937027542880
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
299 : 1, 13, 23, 299
453 : 1, 3, 151, 453
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,390,299,453,628, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
390:2x 3x 5x 13
299:13x 23
453:3x 151
628:2x 2x 157
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 26937027542880/(1x312)
LCM = 26937027542880/312
LCM = 86336626740
Thus, we can understand that the LCM of 812,390,299,453,628 is 86336626740.
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FAQs on LCM of 812, 390, 299, 453, 628
1. What is the LCM of 812, 390, 299, 453, 628?
Answer: LCM of 812, 390, 299, 453, 628 is 86336626740.
2. How to calculate the LCM of 812, 390, 299, 453, 628?
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 812, 390, 299, 453, 628.
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}.