LCM of 315, 770, 803, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 770, 803, 506 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 315, 770, 803, 506. So, keep reading to learn more.
Given numbers are 315,770,803,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,770,803,506 is 11635470.
Find LCM of 315,770,803,506 with Prime Factorization
| 2 | 315, 770, 803, 506 |
| 5 | 315, 385, 803, 253 |
| 7 | 63, 77, 803, 253 |
| 11 | 9, 11, 803, 253 |
| 9, 1, 73, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 9 x 1 x 73 x 23 = 11635470
Therefore, the lowest common multiple of 315,770,803,506 is 11635470.
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.
315 x 770 x 803 x 506 = 98552430900
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
803 : 1, 11, 73, 803
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,770,803,506, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
770:2x 5x 7x 11
803:11x 73
506:2x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 11x 11 = 8470
Therefore, the value for common factors is 8470.
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 = 98552430900/(1x8470)
LCM = 98552430900/8470
LCM = 11635470
Thus, we can understand that the LCM of 315,770,803,506 is 11635470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 315, 770, 803, 506
1. What is the LCM of 315, 770, 803, 506?
Answer: LCM of 315, 770, 803, 506 is 11635470.
2. How to calculate the LCM of 315, 770, 803, 506?
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 315, 770, 803, 506.
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}.