LCM of 750, 225, 894, 957, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 225, 894, 957, 888 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 750, 225, 894, 957, 888. So, keep reading to learn more.
Given numbers are 750,225,894,957,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,225,894,957,888 is 15827823000.
Find LCM of 750,225,894,957,888 with Prime Factorization
| 2 | 750, 225, 894, 957, 888 |
| 3 | 375, 225, 447, 957, 444 |
| 5 | 125, 75, 149, 319, 148 |
| 5 | 25, 15, 149, 319, 148 |
| 5, 3, 149, 319, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 5 x 3 x 149 x 319 x 148 = 15827823000
Therefore, the lowest common multiple of 750,225,894,957,888 is 15827823000.
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.
750 x 225 x 894 x 957 x 888 = 128205366300000
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
894 : 1, 2, 3, 6, 149, 298, 447, 894
957 : 1, 3, 11, 29, 33, 87, 319, 957
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,225,894,957,888, is 3.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
225:3x 3x 5x 5
894:2x 3x 149
957:3x 11x 29
888:2x 2x 2x 3x 37
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 3x 3x 3x 5x 5 = 2700
Therefore, the value for common factors is 2700.
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 = 128205366300000/(3x2700)
LCM = 128205366300000/8100
LCM = 15827823000
Thus, we can understand that the LCM of 750,225,894,957,888 is 15827823000.
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FAQs on LCM of 750, 225, 894, 957, 888
1. What is the LCM of 750, 225, 894, 957, 888?
Answer: LCM of 750, 225, 894, 957, 888 is 15827823000.
2. How to calculate the LCM of 750, 225, 894, 957, 888?
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 750, 225, 894, 957, 888.
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}.