LCM of 856, 312, 902, 615
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 856, 312, 902, 615 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 856, 312, 902, 615. So, keep reading to learn more.
Given numbers are 856,312,902,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,312,902,615 is 75280920.
Find LCM of 856,312,902,615 with Prime Factorization
| 2 | 856, 312, 902, 615 |
| 2 | 428, 156, 451, 615 |
| 2 | 214, 78, 451, 615 |
| 3 | 107, 39, 451, 615 |
| 41 | 107, 13, 451, 205 |
| 107, 13, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 107 x 13 x 11 x 5 = 75280920
Therefore, the lowest common multiple of 856,312,902,615 is 75280920.
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.
856 x 312 x 902 x 615 = 148152850560
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
902 : 1, 2, 11, 22, 41, 82, 451, 902
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,312,902,615, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
312:2x 2x 2x 3x 13
902:2x 11x 41
615:3x 5x 41
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 2x 3x 41 = 1968
Therefore, the value for common factors is 1968.
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 = 148152850560/(1x1968)
LCM = 148152850560/1968
LCM = 75280920
Thus, we can understand that the LCM of 856,312,902,615 is 75280920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 856, 312, 902, 615
1. What is the LCM of 856, 312, 902, 615?
Answer: LCM of 856, 312, 902, 615 is 75280920.
2. How to calculate the LCM of 856, 312, 902, 615?
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 856, 312, 902, 615.
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}.