LCM of 750, 208, 144, 222, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 208, 144, 222, 417 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, 208, 144, 222, 417. So, keep reading to learn more.
Given numbers are 750,208,144,222,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,208,144,222,417 is 1203462000.
Find LCM of 750,208,144,222,417 with Prime Factorization
| 2 | 750, 208, 144, 222, 417 |
| 2 | 375, 104, 72, 111, 417 |
| 2 | 375, 52, 36, 111, 417 |
| 2 | 375, 26, 18, 111, 417 |
| 3 | 375, 13, 9, 111, 417 |
| 125, 13, 3, 37, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 125 x 13 x 3 x 37 x 139 = 1203462000
Therefore, the lowest common multiple of 750,208,144,222,417 is 1203462000.
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 208 x 144 x 222 x 417 = 2079582336000
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
222 : 1, 2, 3, 6, 37, 74, 111, 222
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,208,144,222,417, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
208:2x 2x 2x 2x 13
144:2x 2x 2x 2x 3x 3
222:2x 3x 37
417:3x 139
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 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 2079582336000/(1x1728)
LCM = 2079582336000/1728
LCM = 1203462000
Thus, we can understand that the LCM of 750,208,144,222,417 is 1203462000.
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FAQs on LCM of 750, 208, 144, 222, 417
1. What is the LCM of 750, 208, 144, 222, 417?
Answer: LCM of 750, 208, 144, 222, 417 is 1203462000.
2. How to calculate the LCM of 750, 208, 144, 222, 417?
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, 208, 144, 222, 417.
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}.