Find the LCM of 473, 175, 894, 988, 300 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 473, 175, 894, 988, 300. So, keep reading to learn more.
Given numbers are 473,175,894,988,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,175,894,988,300 is 36556419900.
Find LCM of 473,175,894,988,300 with Prime Factorization
2 | 473, 175, 894, 988, 300 |
2 | 473, 175, 447, 494, 150 |
3 | 473, 175, 447, 247, 75 |
5 | 473, 175, 149, 247, 25 |
5 | 473, 35, 149, 247, 5 |
473, 7, 149, 247, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 473 x 7 x 149 x 247 x 1 = 36556419900
Therefore, the lowest common multiple of 473,175,894,988,300 is 36556419900.
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.
473 x 175 x 894 x 988 x 300 = 21933851940000
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.
473 : 1, 11, 43, 473
175 : 1, 5, 7, 25, 35, 175
894 : 1, 2, 3, 6, 149, 298, 447, 894
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,175,894,988,300, is 1.
Now, the common factors can be found like this.
473:11x 43
175:5x 5x 7
894:2x 3x 149
988:2x 2x 13x 19
300:2x 2x 3x 5x 5
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 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 21933851940000/(1x600)
LCM = 21933851940000/600
LCM = 36556419900
Thus, we can understand that the LCM of 473,175,894,988,300 is 36556419900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 473, 175, 894, 988, 300?
Answer: LCM of 473, 175, 894, 988, 300 is 36556419900.
2. How to calculate the LCM of 473, 175, 894, 988, 300?
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 473, 175, 894, 988, 300.
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}.