Find the LCM of 907, 714, 120, 660, 356 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 907, 714, 120, 660, 356. So, keep reading to learn more.
Given numbers are 907,714,120,660,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,714,120,660,356 is 12679968840.
Find LCM of 907,714,120,660,356 with Prime Factorization
2 | 907, 714, 120, 660, 356 |
2 | 907, 357, 60, 330, 178 |
3 | 907, 357, 30, 165, 89 |
5 | 907, 119, 10, 55, 89 |
907, 119, 2, 11, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 907 x 119 x 2 x 11 x 89 = 12679968840
Therefore, the lowest common multiple of 907,714,120,660,356 is 12679968840.
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.
907 x 714 x 120 x 660 x 356 = 18259155129600
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.
907 : 1, 907
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,714,120,660,356, is 1.
Now, the common factors can be found like this.
907:907
714:2x 3x 7x 17
120:2x 2x 2x 3x 5
660:2x 2x 3x 5x 11
356:2x 2x 89
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 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 18259155129600/(1x1440)
LCM = 18259155129600/1440
LCM = 12679968840
Thus, we can understand that the LCM of 907,714,120,660,356 is 12679968840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 907, 714, 120, 660, 356?
Answer: LCM of 907, 714, 120, 660, 356 is 12679968840.
2. How to calculate the LCM of 907, 714, 120, 660, 356?
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 907, 714, 120, 660, 356.
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}.