LCM of 572, 744, 906, 846, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 744, 906, 846, 875 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 572, 744, 906, 846, 875. So, keep reading to learn more.
Given numbers are 572,744,906,846,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,744,906,846,875 is 1982043063000.
Find LCM of 572,744,906,846,875 with Prime Factorization
| 2 | 572, 744, 906, 846, 875 |
| 2 | 286, 372, 453, 423, 875 |
| 3 | 143, 186, 453, 423, 875 |
| 143, 62, 151, 141, 875 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 143 x 62 x 151 x 141 x 875 = 1982043063000
Therefore, the lowest common multiple of 572,744,906,846,875 is 1982043063000.
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.
572 x 744 x 906 x 846 x 875 = 285414201072000
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
906 : 1, 2, 3, 6, 151, 302, 453, 906
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,744,906,846,875, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
744:2x 2x 2x 3x 31
906:2x 3x 151
846:2x 3x 3x 47
875:5x 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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 285414201072000/(1x144)
LCM = 285414201072000/144
LCM = 1982043063000
Thus, we can understand that the LCM of 572,744,906,846,875 is 1982043063000.
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FAQs on LCM of 572, 744, 906, 846, 875
1. What is the LCM of 572, 744, 906, 846, 875?
Answer: LCM of 572, 744, 906, 846, 875 is 1982043063000.
2. How to calculate the LCM of 572, 744, 906, 846, 875?
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 572, 744, 906, 846, 875.
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}.