LCM of 264, 747, 498, 163, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 747, 498, 163, 758 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 264, 747, 498, 163, 758. So, keep reading to learn more.
Given numbers are 264,747,498,163,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,747,498,163,758 is 4060972872.
Find LCM of 264,747,498,163,758 with Prime Factorization
| 2 | 264, 747, 498, 163, 758 |
| 3 | 132, 747, 249, 163, 379 |
| 83 | 44, 83, 249, 163, 379 |
| 44, 1, 3, 163, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 83 x 44 x 1 x 3 x 163 x 379 = 4060972872
Therefore, the lowest common multiple of 264,747,498,163,758 is 4060972872.
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.
264 x 747 x 498 x 163 x 758 = 12134186941536
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
747 : 1, 3, 9, 83, 249, 747
498 : 1, 2, 3, 6, 83, 166, 249, 498
163 : 1, 163
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,747,498,163,758, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
747:3x 3x 83
498:2x 3x 83
163:163
758:2x 379
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 83 = 2988
Therefore, the value for common factors is 2988.
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 = 12134186941536/(1x2988)
LCM = 12134186941536/2988
LCM = 4060972872
Thus, we can understand that the LCM of 264,747,498,163,758 is 4060972872.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 264, 747, 498, 163, 758
1. What is the LCM of 264, 747, 498, 163, 758?
Answer: LCM of 264, 747, 498, 163, 758 is 4060972872.
2. How to calculate the LCM of 264, 747, 498, 163, 758?
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 264, 747, 498, 163, 758.
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}.