LCM of 410, 416, 714, 120, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 410, 416, 714, 120, 175 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 410, 416, 714, 120, 175. So, keep reading to learn more.
Given numbers are 410,416,714,120,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 410,416,714,120,175 is 152224800.
Find LCM of 410,416,714,120,175 with Prime Factorization
| 2 | 410, 416, 714, 120, 175 |
| 2 | 205, 208, 357, 60, 175 |
| 2 | 205, 104, 357, 30, 175 |
| 3 | 205, 52, 357, 15, 175 |
| 5 | 205, 52, 119, 5, 175 |
| 7 | 41, 52, 119, 1, 35 |
| 41, 52, 17, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 41 x 52 x 17 x 1 x 5 = 152224800
Therefore, the lowest common multiple of 410,416,714,120,175 is 152224800.
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.
410 x 416 x 714 x 120 x 175 = 2557376640000
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.
410 : 1, 2, 5, 10, 41, 82, 205, 410
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
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
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,416,714,120,175, is 1.
Now, the common factors can be found like this.
410:2x 5x 41
416:2x 2x 2x 2x 2x 13
714:2x 3x 7x 17
120:2x 2x 2x 3x 5
175:5x 5x 7
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 5x 5x 7 = 16800
Therefore, the value for common factors is 16800.
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 = 2557376640000/(1x16800)
LCM = 2557376640000/16800
LCM = 152224800
Thus, we can understand that the LCM of 410,416,714,120,175 is 152224800.
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FAQs on LCM of 410, 416, 714, 120, 175
1. What is the LCM of 410, 416, 714, 120, 175?
Answer: LCM of 410, 416, 714, 120, 175 is 152224800.
2. How to calculate the LCM of 410, 416, 714, 120, 175?
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 410, 416, 714, 120, 175.
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}.