LCM of 466, 234, 506, 949, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 466, 234, 506, 949, 154 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 466, 234, 506, 949, 154. So, keep reading to learn more.
Given numbers are 466,234,506,949,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,234,506,949,154 is 7048767726.
Find LCM of 466,234,506,949,154 with Prime Factorization
| 2 | 466, 234, 506, 949, 154 |
| 11 | 233, 117, 253, 949, 77 |
| 13 | 233, 117, 23, 949, 7 |
| 233, 9, 23, 73, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 233 x 9 x 23 x 73 x 7 = 7048767726
Therefore, the lowest common multiple of 466,234,506,949,154 is 7048767726.
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.
466 x 234 x 506 x 949 x 154 = 8063790278544
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.
466 : 1, 2, 233, 466
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
506 : 1, 2, 11, 22, 23, 46, 253, 506
949 : 1, 13, 73, 949
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,234,506,949,154, is 1.
Now, the common factors can be found like this.
466:2x 233
234:2x 3x 3x 13
506:2x 11x 23
949:13x 73
154:2x 7x 11
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 11x 13 = 1144
Therefore, the value for common factors is 1144.
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 = 8063790278544/(1x1144)
LCM = 8063790278544/1144
LCM = 7048767726
Thus, we can understand that the LCM of 466,234,506,949,154 is 7048767726.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 466, 234, 506, 949, 154
1. What is the LCM of 466, 234, 506, 949, 154?
Answer: LCM of 466, 234, 506, 949, 154 is 7048767726.
2. How to calculate the LCM of 466, 234, 506, 949, 154?
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 466, 234, 506, 949, 154.
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}.