LCM of 707, 202, 493, 720, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 202, 493, 720, 921 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 707, 202, 493, 720, 921. So, keep reading to learn more.
Given numbers are 707,202,493,720,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,202,493,720,921 is 77043713040.
Find LCM of 707,202,493,720,921 with Prime Factorization
| 2 | 707, 202, 493, 720, 921 |
| 3 | 707, 101, 493, 360, 921 |
| 101 | 707, 101, 493, 120, 307 |
| 7, 1, 493, 120, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 7 x 1 x 493 x 120 x 307 = 77043713040
Therefore, the lowest common multiple of 707,202,493,720,921 is 77043713040.
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.
707 x 202 x 493 x 720 x 921 = 46688490102240
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.
707 : 1, 7, 101, 707
202 : 1, 2, 101, 202
493 : 1, 17, 29, 493
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,202,493,720,921, is 1.
Now, the common factors can be found like this.
707:7x 101
202:2x 101
493:17x 29
720:2x 2x 2x 2x 3x 3x 5
921:3x 307
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 101 = 606
Therefore, the value for common factors is 606.
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 = 46688490102240/(1x606)
LCM = 46688490102240/606
LCM = 77043713040
Thus, we can understand that the LCM of 707,202,493,720,921 is 77043713040.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 707, 202, 493, 720, 921
1. What is the LCM of 707, 202, 493, 720, 921?
Answer: LCM of 707, 202, 493, 720, 921 is 77043713040.
2. How to calculate the LCM of 707, 202, 493, 720, 921?
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 707, 202, 493, 720, 921.
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}.