LCM of 147, 820, 931, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 147, 820, 931, 697 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, 820, 931, 697. So, keep reading to learn more.
Given numbers are 147,820,931,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 147,820,931,697 is 38934420.
Find LCM of 147,820,931,697 with Prime Factorization
| 7 | 147, 820, 931, 697 |
| 7 | 21, 820, 133, 697 |
| 41 | 3, 820, 19, 697 |
| 3, 20, 19, 17 |
Multiply the prime numbers at the bottom and the left side.
7 x 7 x 41 x 3 x 20 x 19 x 17 = 38934420
Therefore, the lowest common multiple of 147,820,931,697 is 38934420.
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 820 x 931 x 697 = 78219249780
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
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
931 : 1, 7, 19, 49, 133, 931
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,820,931,697, is 1.
Now, the common factors can be found like this.
147:3x 7x 7
820:2x 2x 5x 41
931:7x 7x 19
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 41 = 2009
Therefore, the value for common factors is 2009.
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 = 78219249780/(1x2009)
LCM = 78219249780/2009
LCM = 38934420
Thus, we can understand that the LCM of 147,820,931,697 is 38934420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 147, 820, 931, 697
1. What is the LCM of 147, 820, 931, 697?
Answer: LCM of 147, 820, 931, 697 is 38934420.
2. How to calculate the LCM of 147, 820, 931, 697?
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, 820, 931, 697.
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}.