Find the LCM of 700, 377, 400, 680, 730 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 700, 377, 400, 680, 730. So, keep reading to learn more.
Given numbers are 700,377,400,680,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 700,377,400,680,730 is 1309999600.
Find LCM of 700,377,400,680,730 with Prime Factorization
2 | 700, 377, 400, 680, 730 |
2 | 350, 377, 200, 340, 365 |
2 | 175, 377, 100, 170, 365 |
5 | 175, 377, 50, 85, 365 |
5 | 35, 377, 10, 17, 73 |
7, 377, 2, 17, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 7 x 377 x 2 x 17 x 73 = 1309999600
Therefore, the lowest common multiple of 700,377,400,680,730 is 1309999600.
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.
700 x 377 x 400 x 680 x 730 = 52399984000000
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.
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
377 : 1, 13, 29, 377
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,377,400,680,730, is 1.
Now, the common factors can be found like this.
700:2x 2x 5x 5x 7
377:13x 29
400:2x 2x 2x 2x 5x 5
680:2x 2x 2x 5x 17
730:2x 5x 73
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 2x 2x 2x 2x 5x 5x 5x 5 = 40000
Therefore, the value for common factors is 40000.
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 = 52399984000000/(1x40000)
LCM = 52399984000000/40000
LCM = 1309999600
Thus, we can understand that the LCM of 700,377,400,680,730 is 1309999600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 700, 377, 400, 680, 730?
Answer: LCM of 700, 377, 400, 680, 730 is 1309999600.
2. How to calculate the LCM of 700, 377, 400, 680, 730?
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 700, 377, 400, 680, 730.
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}.