LCM of 267, 735, 644, 485, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 735, 644, 485, 147 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 267, 735, 644, 485, 147. So, keep reading to learn more.
Given numbers are 267,735,644,485,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,735,644,485,147 is 583763460.
Find LCM of 267,735,644,485,147 with Prime Factorization
| 3 | 267, 735, 644, 485, 147 |
| 5 | 89, 245, 644, 485, 49 |
| 7 | 89, 49, 644, 97, 49 |
| 7 | 89, 7, 92, 97, 7 |
| 89, 1, 92, 97, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 7 x 89 x 1 x 92 x 97 x 1 = 583763460
Therefore, the lowest common multiple of 267,735,644,485,147 is 583763460.
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.
267 x 735 x 644 x 485 x 147 = 9010389005100
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.
267 : 1, 3, 89, 267
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
485 : 1, 5, 97, 485
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,735,644,485,147, is 1.
Now, the common factors can be found like this.
267:3x 89
735:3x 5x 7x 7
644:2x 2x 7x 23
485:5x 97
147:3x 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.
3x 3x 5x 7x 7x 7 = 15435
Therefore, the value for common factors is 15435.
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 = 9010389005100/(1x15435)
LCM = 9010389005100/15435
LCM = 583763460
Thus, we can understand that the LCM of 267,735,644,485,147 is 583763460.
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FAQs on LCM of 267, 735, 644, 485, 147
1. What is the LCM of 267, 735, 644, 485, 147?
Answer: LCM of 267, 735, 644, 485, 147 is 583763460.
2. How to calculate the LCM of 267, 735, 644, 485, 147?
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 267, 735, 644, 485, 147.
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}.