LCM of 858, 278, 583, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 278, 583, 318 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 858, 278, 583, 318. So, keep reading to learn more.
Given numbers are 858,278,583,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,278,583,318 is 6320886.
Find LCM of 858,278,583,318 with Prime Factorization
| 2 | 858, 278, 583, 318 |
| 3 | 429, 139, 583, 159 |
| 11 | 143, 139, 583, 53 |
| 53 | 13, 139, 53, 53 |
| 13, 139, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 53 x 13 x 139 x 1 x 1 = 6320886
Therefore, the lowest common multiple of 858,278,583,318 is 6320886.
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.
858 x 278 x 583 x 318 = 44220918456
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
278 : 1, 2, 139, 278
583 : 1, 11, 53, 583
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,278,583,318, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
278:2x 139
583:11x 53
318:2x 3x 53
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 11x 53 = 6996
Therefore, the value for common factors is 6996.
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 = 44220918456/(1x6996)
LCM = 44220918456/6996
LCM = 6320886
Thus, we can understand that the LCM of 858,278,583,318 is 6320886.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 858, 278, 583, 318
1. What is the LCM of 858, 278, 583, 318?
Answer: LCM of 858, 278, 583, 318 is 6320886.
2. How to calculate the LCM of 858, 278, 583, 318?
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 858, 278, 583, 318.
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}.