LCM of 467, 143, 195, 320, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 143, 195, 320, 692 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 467, 143, 195, 320, 692. So, keep reading to learn more.
Given numbers are 467,143,195,320,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,143,195,320,692 is 11090988480.
Find LCM of 467,143,195,320,692 with Prime Factorization
| 2 | 467, 143, 195, 320, 692 |
| 2 | 467, 143, 195, 160, 346 |
| 5 | 467, 143, 195, 80, 173 |
| 13 | 467, 143, 39, 16, 173 |
| 467, 11, 3, 16, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 467 x 11 x 3 x 16 x 173 = 11090988480
Therefore, the lowest common multiple of 467,143,195,320,692 is 11090988480.
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.
467 x 143 x 195 x 320 x 692 = 2883657004800
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.
467 : 1, 467
143 : 1, 11, 13, 143
195 : 1, 3, 5, 13, 15, 39, 65, 195
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,143,195,320,692, is 1.
Now, the common factors can be found like this.
467:467
143:11x 13
195:3x 5x 13
320:2x 2x 2x 2x 2x 2x 5
692:2x 2x 173
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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 2883657004800/(1x260)
LCM = 2883657004800/260
LCM = 11090988480
Thus, we can understand that the LCM of 467,143,195,320,692 is 11090988480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 467, 143, 195, 320, 692
1. What is the LCM of 467, 143, 195, 320, 692?
Answer: LCM of 467, 143, 195, 320, 692 is 11090988480.
2. How to calculate the LCM of 467, 143, 195, 320, 692?
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 467, 143, 195, 320, 692.
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}.