LCM of 845, 176, 632, 869, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 176, 632, 869, 315 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 845, 176, 632, 869, 315. So, keep reading to learn more.
Given numbers are 845,176,632,869,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,176,632,869,315 is 740179440.
Find LCM of 845,176,632,869,315 with Prime Factorization
| 2 | 845, 176, 632, 869, 315 |
| 2 | 845, 88, 316, 869, 315 |
| 2 | 845, 44, 158, 869, 315 |
| 5 | 845, 22, 79, 869, 315 |
| 11 | 169, 22, 79, 869, 63 |
| 79 | 169, 2, 79, 79, 63 |
| 169, 2, 1, 1, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 79 x 169 x 2 x 1 x 1 x 63 = 740179440
Therefore, the lowest common multiple of 845,176,632,869,315 is 740179440.
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.
845 x 176 x 632 x 869 x 315 = 25728637334400
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.
845 : 1, 5, 13, 65, 169, 845
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
632 : 1, 2, 4, 8, 79, 158, 316, 632
869 : 1, 11, 79, 869
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,176,632,869,315, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
176:2x 2x 2x 2x 11
632:2x 2x 2x 79
869:11x 79
315:3x 3x 5x 7
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 5x 11x 79 = 34760
Therefore, the value for common factors is 34760.
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 = 25728637334400/(1x34760)
LCM = 25728637334400/34760
LCM = 740179440
Thus, we can understand that the LCM of 845,176,632,869,315 is 740179440.
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FAQs on LCM of 845, 176, 632, 869, 315
1. What is the LCM of 845, 176, 632, 869, 315?
Answer: LCM of 845, 176, 632, 869, 315 is 740179440.
2. How to calculate the LCM of 845, 176, 632, 869, 315?
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 845, 176, 632, 869, 315.
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}.