LCM of 176, 512, 314, 350, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 176, 512, 314, 350, 735 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 176, 512, 314, 350, 735. So, keep reading to learn more.
Given numbers are 176,512,314,350,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 176,512,314,350,735 is 3249523200.
Find LCM of 176,512,314,350,735 with Prime Factorization
| 2 | 176, 512, 314, 350, 735 |
| 2 | 88, 256, 157, 175, 735 |
| 2 | 44, 128, 157, 175, 735 |
| 2 | 22, 64, 157, 175, 735 |
| 5 | 11, 32, 157, 175, 735 |
| 7 | 11, 32, 157, 35, 147 |
| 11, 32, 157, 5, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 7 x 11 x 32 x 157 x 5 x 21 = 3249523200
Therefore, the lowest common multiple of 176,512,314,350,735 is 3249523200.
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.
176 x 512 x 314 x 350 x 735 = 7278931968000
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.
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
314 : 1, 2, 157, 314
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,512,314,350,735, is 1.
Now, the common factors can be found like this.
176:2x 2x 2x 2x 11
512:2x 2x 2x 2x 2x 2x 2x 2x 2
314:2x 157
350:2x 5x 5x 7
735:3x 5x 7x 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 2x 2x 2x 5x 7 = 2240
Therefore, the value for common factors is 2240.
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 = 7278931968000/(1x2240)
LCM = 7278931968000/2240
LCM = 3249523200
Thus, we can understand that the LCM of 176,512,314,350,735 is 3249523200.
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FAQs on LCM of 176, 512, 314, 350, 735
1. What is the LCM of 176, 512, 314, 350, 735?
Answer: LCM of 176, 512, 314, 350, 735 is 3249523200.
2. How to calculate the LCM of 176, 512, 314, 350, 735?
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 176, 512, 314, 350, 735.
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}.