LCM of 750, 221, 875, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 221, 875, 413 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, 221, 875, 413. So, keep reading to learn more.
Given numbers are 750,221,875,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,221,875,413 is 68454750.
Find LCM of 750,221,875,413 with Prime Factorization
| 5 | 750, 221, 875, 413 |
| 5 | 150, 221, 175, 413 |
| 5 | 30, 221, 35, 413 |
| 7 | 6, 221, 7, 413 |
| 6, 221, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 5 x 7 x 6 x 221 x 1 x 59 = 68454750
Therefore, the lowest common multiple of 750,221,875,413 is 68454750.
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 221 x 875 x 413 = 59897906250
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
221 : 1, 13, 17, 221
875 : 1, 5, 7, 25, 35, 125, 175, 875
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,221,875,413, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
221:13x 17
875:5x 5x 5x 7
413:7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5x 7 = 875
Therefore, the value for common factors is 875.
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 = 59897906250/(1x875)
LCM = 59897906250/875
LCM = 68454750
Thus, we can understand that the LCM of 750,221,875,413 is 68454750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 750, 221, 875, 413
1. What is the LCM of 750, 221, 875, 413?
Answer: LCM of 750, 221, 875, 413 is 68454750.
2. How to calculate the LCM of 750, 221, 875, 413?
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, 221, 875, 413.
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}.