LCM of 176, 672, 344, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 176, 672, 344, 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, 672, 344, 735. So, keep reading to learn more.
Given numbers are 176,672,344,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 176,672,344,735 is 11124960.
Find LCM of 176,672,344,735 with Prime Factorization
| 2 | 176, 672, 344, 735 |
| 2 | 88, 336, 172, 735 |
| 2 | 44, 168, 86, 735 |
| 2 | 22, 84, 43, 735 |
| 3 | 11, 42, 43, 735 |
| 7 | 11, 14, 43, 245 |
| 11, 2, 43, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 11 x 2 x 43 x 35 = 11124960
Therefore, the lowest common multiple of 176,672,344,735 is 11124960.
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 672 x 344 x 735 = 29903892480
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
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
344 : 1, 2, 4, 8, 43, 86, 172, 344
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 176,672,344,735, is 1.
Now, the common factors can be found like this.
176:2x 2x 2x 2x 11
672:2x 2x 2x 2x 2x 3x 7
344:2x 2x 2x 43
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 2x 3x 7 = 2688
Therefore, the value for common factors is 2688.
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 = 29903892480/(1x2688)
LCM = 29903892480/2688
LCM = 11124960
Thus, we can understand that the LCM of 176,672,344,735 is 11124960.
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FAQs on LCM of 176, 672, 344, 735
1. What is the LCM of 176, 672, 344, 735?
Answer: LCM of 176, 672, 344, 735 is 11124960.
2. How to calculate the LCM of 176, 672, 344, 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, 672, 344, 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}.