LCM of 345, 656, 397, 820, 607
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 656, 397, 820, 607 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 345, 656, 397, 820, 607. So, keep reading to learn more.
Given numbers are 345,656,397,820,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,656,397,820,607 is 54538367280.
Find LCM of 345,656,397,820,607 with Prime Factorization
| 2 | 345, 656, 397, 820, 607 |
| 2 | 345, 328, 397, 410, 607 |
| 5 | 345, 164, 397, 205, 607 |
| 41 | 69, 164, 397, 41, 607 |
| 69, 4, 397, 1, 607 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 41 x 69 x 4 x 397 x 1 x 607 = 54538367280
Therefore, the lowest common multiple of 345,656,397,820,607 is 54538367280.
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.
345 x 656 x 397 x 820 x 607 = 44721461169600
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
397 : 1, 397
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,656,397,820,607, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
656:2x 2x 2x 2x 41
397:397
820:2x 2x 5x 41
607:607
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 41 = 820
Therefore, the value for common factors is 820.
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 = 44721461169600/(1x820)
LCM = 44721461169600/820
LCM = 54538367280
Thus, we can understand that the LCM of 345,656,397,820,607 is 54538367280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 345, 656, 397, 820, 607
1. What is the LCM of 345, 656, 397, 820, 607?
Answer: LCM of 345, 656, 397, 820, 607 is 54538367280.
2. How to calculate the LCM of 345, 656, 397, 820, 607?
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 345, 656, 397, 820, 607.
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}.