LCM of 906, 992, 719, 598, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 992, 719, 598, 627 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 906, 992, 719, 598, 627. So, keep reading to learn more.
Given numbers are 906,992,719,598,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,992,719,598,627 is 20190926087904.
Find LCM of 906,992,719,598,627 with Prime Factorization
| 2 | 906, 992, 719, 598, 627 |
| 3 | 453, 496, 719, 299, 627 |
| 151, 496, 719, 299, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 496 x 719 x 299 x 209 = 20190926087904
Therefore, the lowest common multiple of 906,992,719,598,627 is 20190926087904.
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.
906 x 992 x 719 x 598 x 627 = 242291113054848
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
719 : 1, 719
598 : 1, 2, 13, 23, 26, 46, 299, 598
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,992,719,598,627, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
992:2x 2x 2x 2x 2x 31
719:719
598:2x 13x 23
627:3x 11x 19
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 3 = 12
Therefore, the value for common factors is 12.
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 = 242291113054848/(1x12)
LCM = 242291113054848/12
LCM = 20190926087904
Thus, we can understand that the LCM of 906,992,719,598,627 is 20190926087904.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 992, 719, 598, 627
1. What is the LCM of 906, 992, 719, 598, 627?
Answer: LCM of 906, 992, 719, 598, 627 is 20190926087904.
2. How to calculate the LCM of 906, 992, 719, 598, 627?
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 906, 992, 719, 598, 627.
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}.