LCM of 147, 722, 304, 811
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 147, 722, 304, 811 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, 722, 304, 811. So, keep reading to learn more.
Given numbers are 147,722,304,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 147,722,304,811 is 688597392.
Find LCM of 147,722,304,811 with Prime Factorization
| 2 | 147, 722, 304, 811 |
| 19 | 147, 361, 152, 811 |
| 147, 19, 8, 811 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 147 x 19 x 8 x 811 = 688597392
Therefore, the lowest common multiple of 147,722,304,811 is 688597392.
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 722 x 304 x 811 = 26166700896
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
722 : 1, 2, 19, 38, 361, 722
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,722,304,811, is 1.
Now, the common factors can be found like this.
147:3x 7x 7
722:2x 19x 19
304:2x 2x 2x 2x 19
811:811
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 26166700896/(1x38)
LCM = 26166700896/38
LCM = 688597392
Thus, we can understand that the LCM of 147,722,304,811 is 688597392.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 147, 722, 304, 811
1. What is the LCM of 147, 722, 304, 811?
Answer: LCM of 147, 722, 304, 811 is 688597392.
2. How to calculate the LCM of 147, 722, 304, 811?
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, 722, 304, 811.
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}.