LCM of 147, 302, 422, 577, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 147, 302, 422, 577, 861 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 147, 302, 422, 577, 861. So, keep reading to learn more.
Given numbers are 147,302,422,577,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 147,302,422,577,861 is 221598289038.
Find LCM of 147,302,422,577,861 with Prime Factorization
| 2 | 147, 302, 422, 577, 861 |
| 3 | 147, 151, 211, 577, 861 |
| 7 | 49, 151, 211, 577, 287 |
| 7, 151, 211, 577, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 151 x 211 x 577 x 41 = 221598289038
Therefore, the lowest common multiple of 147,302,422,577,861 is 221598289038.
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.
147 x 302 x 422 x 577 x 861 = 9307128139596
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.
147 : 1, 3, 7, 21, 49, 147
302 : 1, 2, 151, 302
422 : 1, 2, 211, 422
577 : 1, 577
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,302,422,577,861, is 1.
Now, the common factors can be found like this.
147:3x 7x 7
302:2x 151
422:2x 211
577:577
861:3x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 9307128139596/(1x42)
LCM = 9307128139596/42
LCM = 221598289038
Thus, we can understand that the LCM of 147,302,422,577,861 is 221598289038.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 147, 302, 422, 577, 861
1. What is the LCM of 147, 302, 422, 577, 861?
Answer: LCM of 147, 302, 422, 577, 861 is 221598289038.
2. How to calculate the LCM of 147, 302, 422, 577, 861?
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 147, 302, 422, 577, 861.
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}.