LCM of 176, 219, 980, 735, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 176, 219, 980, 735, 432 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, 219, 980, 735, 432. So, keep reading to learn more.
Given numbers are 176,219,980,735,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 176,219,980,735,432 is 84989520.
Find LCM of 176,219,980,735,432 with Prime Factorization
| 2 | 176, 219, 980, 735, 432 |
| 2 | 88, 219, 490, 735, 216 |
| 2 | 44, 219, 245, 735, 108 |
| 2 | 22, 219, 245, 735, 54 |
| 3 | 11, 219, 245, 735, 27 |
| 5 | 11, 73, 245, 245, 9 |
| 7 | 11, 73, 49, 49, 9 |
| 7 | 11, 73, 7, 7, 9 |
| 11, 73, 1, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 11 x 73 x 1 x 1 x 9 = 84989520
Therefore, the lowest common multiple of 176,219,980,735,432 is 84989520.
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 219 x 980 x 735 x 432 = 11993721062400
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
219 : 1, 3, 73, 219
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,219,980,735,432, is 1.
Now, the common factors can be found like this.
176:2x 2x 2x 2x 11
219:3x 73
980:2x 2x 5x 7x 7
735:3x 5x 7x 7
432:2x 2x 2x 2x 3x 3x 3
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 3x 3x 5x 7x 7 = 141120
Therefore, the value for common factors is 141120.
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 = 11993721062400/(1x141120)
LCM = 11993721062400/141120
LCM = 84989520
Thus, we can understand that the LCM of 176,219,980,735,432 is 84989520.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 176, 219, 980, 735, 432
1. What is the LCM of 176, 219, 980, 735, 432?
Answer: LCM of 176, 219, 980, 735, 432 is 84989520.
2. How to calculate the LCM of 176, 219, 980, 735, 432?
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, 219, 980, 735, 432.
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}.