Find the LCM of 707, 377, 900, 680, 203 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, 377, 900, 680, 203. So, keep reading to learn more.
Given numbers are 707,377,900,680,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,377,900,680,203 is 8156093400.
Find LCM of 707,377,900,680,203 with Prime Factorization
2 | 707, 377, 900, 680, 203 |
2 | 707, 377, 450, 340, 203 |
5 | 707, 377, 225, 170, 203 |
7 | 707, 377, 45, 34, 203 |
29 | 101, 377, 45, 34, 29 |
101, 13, 45, 34, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 29 x 101 x 13 x 45 x 34 x 1 = 8156093400
Therefore, the lowest common multiple of 707,377,900,680,203 is 8156093400.
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 377 x 900 x 680 x 203 = 33113739204000
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
377 : 1, 13, 29, 377
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,377,900,680,203, is 1.
Now, the common factors can be found like this.
707:7x 101
377:13x 29
900:2x 2x 3x 3x 5x 5
680:2x 2x 2x 5x 17
203:7x 29
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 7x 29 = 4060
Therefore, the value for common factors is 4060.
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 = 33113739204000/(1x4060)
LCM = 33113739204000/4060
LCM = 8156093400
Thus, we can understand that the LCM of 707,377,900,680,203 is 8156093400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 707, 377, 900, 680, 203?
Answer: LCM of 707, 377, 900, 680, 203 is 8156093400.
2. How to calculate the LCM of 707, 377, 900, 680, 203?
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, 377, 900, 680, 203.
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}.