LCM of 210, 892, 391, 772, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 892, 391, 772, 450 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 210, 892, 391, 772, 450. So, keep reading to learn more.
Given numbers are 210,892,391,772,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,892,391,772,450 is 106017968700.
Find LCM of 210,892,391,772,450 with Prime Factorization
| 2 | 210, 892, 391, 772, 450 |
| 2 | 105, 446, 391, 386, 225 |
| 3 | 105, 223, 391, 193, 225 |
| 5 | 35, 223, 391, 193, 75 |
| 7, 223, 391, 193, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 223 x 391 x 193 x 15 = 106017968700
Therefore, the lowest common multiple of 210,892,391,772,450 is 106017968700.
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.
210 x 892 x 391 x 772 x 450 = 25444312488000
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
892 : 1, 2, 4, 223, 446, 892
391 : 1, 17, 23, 391
772 : 1, 2, 4, 193, 386, 772
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,892,391,772,450, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
892:2x 2x 223
391:17x 23
772:2x 2x 193
450:2x 3x 3x 5x 5
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 25444312488000/(1x240)
LCM = 25444312488000/240
LCM = 106017968700
Thus, we can understand that the LCM of 210,892,391,772,450 is 106017968700.
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FAQs on LCM of 210, 892, 391, 772, 450
1. What is the LCM of 210, 892, 391, 772, 450?
Answer: LCM of 210, 892, 391, 772, 450 is 106017968700.
2. How to calculate the LCM of 210, 892, 391, 772, 450?
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 210, 892, 391, 772, 450.
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}.