LCM of 510, 391, 628, 123, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 391, 628, 123, 894 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 510, 391, 628, 123, 894. So, keep reading to learn more.
Given numbers are 510,391,628,123,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,391,628,123,894 is 22500790980.
Find LCM of 510,391,628,123,894 with Prime Factorization
| 2 | 510, 391, 628, 123, 894 |
| 3 | 255, 391, 314, 123, 447 |
| 17 | 85, 391, 314, 41, 149 |
| 5, 23, 314, 41, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 5 x 23 x 314 x 41 x 149 = 22500790980
Therefore, the lowest common multiple of 510,391,628,123,894 is 22500790980.
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.
510 x 391 x 628 x 123 x 894 = 13770484079760
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
391 : 1, 17, 23, 391
628 : 1, 2, 4, 157, 314, 628
123 : 1, 3, 41, 123
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,391,628,123,894, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
391:17x 23
628:2x 2x 157
123:3x 41
894:2x 3x 149
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 3x 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 13770484079760/(1x612)
LCM = 13770484079760/612
LCM = 22500790980
Thus, we can understand that the LCM of 510,391,628,123,894 is 22500790980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 510, 391, 628, 123, 894
1. What is the LCM of 510, 391, 628, 123, 894?
Answer: LCM of 510, 391, 628, 123, 894 is 22500790980.
2. How to calculate the LCM of 510, 391, 628, 123, 894?
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 510, 391, 628, 123, 894.
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}.