LCM of 474, 561, 594, 648, 859
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 561, 594, 648, 859 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 474, 561, 594, 648, 859. So, keep reading to learn more.
Given numbers are 474,561,594,648,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,561,594,648,859 is 8223124536.
Find LCM of 474,561,594,648,859 with Prime Factorization
| 2 | 474, 561, 594, 648, 859 |
| 3 | 237, 561, 297, 324, 859 |
| 3 | 79, 187, 99, 108, 859 |
| 3 | 79, 187, 33, 36, 859 |
| 11 | 79, 187, 11, 12, 859 |
| 79, 17, 1, 12, 859 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 79 x 17 x 1 x 12 x 859 = 8223124536
Therefore, the lowest common multiple of 474,561,594,648,859 is 8223124536.
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.
474 x 561 x 594 x 648 x 859 = 87921647538912
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
561 : 1, 3, 11, 17, 33, 51, 187, 561
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,561,594,648,859, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
561:3x 11x 17
594:2x 3x 3x 3x 11
648:2x 2x 2x 3x 3x 3x 3
859:859
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 3x 3x 3x 3x 3x 11 = 10692
Therefore, the value for common factors is 10692.
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 = 87921647538912/(1x10692)
LCM = 87921647538912/10692
LCM = 8223124536
Thus, we can understand that the LCM of 474,561,594,648,859 is 8223124536.
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FAQs on LCM of 474, 561, 594, 648, 859
1. What is the LCM of 474, 561, 594, 648, 859?
Answer: LCM of 474, 561, 594, 648, 859 is 8223124536.
2. How to calculate the LCM of 474, 561, 594, 648, 859?
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 474, 561, 594, 648, 859.
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}.