LCM of 152, 594, 856, 486, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 152, 594, 856, 486, 632 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 152, 594, 856, 486, 632. So, keep reading to learn more.
Given numbers are 152,594,856,486,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,594,856,486,632 is 3434420088.
Find LCM of 152,594,856,486,632 with Prime Factorization
| 2 | 152, 594, 856, 486, 632 |
| 2 | 76, 297, 428, 243, 316 |
| 2 | 38, 297, 214, 243, 158 |
| 3 | 19, 297, 107, 243, 79 |
| 3 | 19, 99, 107, 81, 79 |
| 3 | 19, 33, 107, 27, 79 |
| 19, 11, 107, 9, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 19 x 11 x 107 x 9 x 79 = 3434420088
Therefore, the lowest common multiple of 152,594,856,486,632 is 3434420088.
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.
152 x 594 x 856 x 486 x 632 = 23738711648256
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
856 : 1, 2, 4, 8, 107, 214, 428, 856
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
632 : 1, 2, 4, 8, 79, 158, 316, 632
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,594,856,486,632, is 2.
Now, the common factors can be found like this.
152:2x 2x 2x 19
594:2x 3x 3x 3x 11
856:2x 2x 2x 107
486:2x 3x 3x 3x 3x 3
632:2x 2x 2x 79
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 2x 2x 2x 3x 3x 3 = 3456
Therefore, the value for common factors is 3456.
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 = 23738711648256/(2x3456)
LCM = 23738711648256/6912
LCM = 3434420088
Thus, we can understand that the LCM of 152,594,856,486,632 is 3434420088.
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FAQs on LCM of 152, 594, 856, 486, 632
1. What is the LCM of 152, 594, 856, 486, 632?
Answer: LCM of 152, 594, 856, 486, 632 is 3434420088.
2. How to calculate the LCM of 152, 594, 856, 486, 632?
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 152, 594, 856, 486, 632.
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}.