LCM of 179, 766, 400, 420, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 179, 766, 400, 420, 525 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 179, 766, 400, 420, 525. So, keep reading to learn more.
Given numbers are 179,766,400,420,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 179,766,400,420,525 is 575878800.
Find LCM of 179,766,400,420,525 with Prime Factorization
| 2 | 179, 766, 400, 420, 525 |
| 2 | 179, 383, 200, 210, 525 |
| 3 | 179, 383, 100, 105, 525 |
| 5 | 179, 383, 100, 35, 175 |
| 5 | 179, 383, 20, 7, 35 |
| 7 | 179, 383, 4, 7, 7 |
| 179, 383, 4, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 7 x 179 x 383 x 4 x 1 x 1 = 575878800
Therefore, the lowest common multiple of 179,766,400,420,525 is 575878800.
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.
179 x 766 x 400 x 420 x 525 = 12093454800000
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.
179 : 1, 179
766 : 1, 2, 383, 766
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,766,400,420,525, is 1.
Now, the common factors can be found like this.
179:179
766:2x 383
400:2x 2x 2x 2x 5x 5
420:2x 2x 3x 5x 7
525:3x 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 3x 5x 5x 5x 7 = 21000
Therefore, the value for common factors is 21000.
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 = 12093454800000/(1x21000)
LCM = 12093454800000/21000
LCM = 575878800
Thus, we can understand that the LCM of 179,766,400,420,525 is 575878800.
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FAQs on LCM of 179, 766, 400, 420, 525
1. What is the LCM of 179, 766, 400, 420, 525?
Answer: LCM of 179, 766, 400, 420, 525 is 575878800.
2. How to calculate the LCM of 179, 766, 400, 420, 525?
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 179, 766, 400, 420, 525.
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}.