LCM of 851, 364, 598, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 364, 598, 788 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 851, 364, 598, 788. So, keep reading to learn more.
Given numbers are 851,364,598,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,364,598,788 is 61023508.
Find LCM of 851,364,598,788 with Prime Factorization
| 2 | 851, 364, 598, 788 |
| 2 | 851, 182, 299, 394 |
| 13 | 851, 91, 299, 197 |
| 23 | 851, 7, 23, 197 |
| 37, 7, 1, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 23 x 37 x 7 x 1 x 197 = 61023508
Therefore, the lowest common multiple of 851,364,598,788 is 61023508.
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.
851 x 364 x 598 x 788 = 145968231136
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.
851 : 1, 23, 37, 851
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
598 : 1, 2, 13, 23, 26, 46, 299, 598
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,364,598,788, is 1.
Now, the common factors can be found like this.
851:23x 37
364:2x 2x 7x 13
598:2x 13x 23
788:2x 2x 197
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 13x 23 = 2392
Therefore, the value for common factors is 2392.
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 = 145968231136/(1x2392)
LCM = 145968231136/2392
LCM = 61023508
Thus, we can understand that the LCM of 851,364,598,788 is 61023508.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 851, 364, 598, 788
1. What is the LCM of 851, 364, 598, 788?
Answer: LCM of 851, 364, 598, 788 is 61023508.
2. How to calculate the LCM of 851, 364, 598, 788?
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 851, 364, 598, 788.
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}.