LCM of 649, 588, 105, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 588, 105, 456 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 649, 588, 105, 456. So, keep reading to learn more.
Given numbers are 649,588,105,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,588,105,456 is 72506280.
Find LCM of 649,588,105,456 with Prime Factorization
| 2 | 649, 588, 105, 456 |
| 2 | 649, 294, 105, 228 |
| 3 | 649, 147, 105, 114 |
| 7 | 649, 49, 35, 38 |
| 649, 7, 5, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 649 x 7 x 5 x 38 = 72506280
Therefore, the lowest common multiple of 649,588,105,456 is 72506280.
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.
649 x 588 x 105 x 456 = 18271582560
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.
649 : 1, 11, 59, 649
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
105 : 1, 3, 5, 7, 15, 21, 35, 105
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,588,105,456, is 1.
Now, the common factors can be found like this.
649:11x 59
588:2x 2x 3x 7x 7
105:3x 5x 7
456:2x 2x 2x 3x 19
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 7 = 252
Therefore, the value for common factors is 252.
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 = 18271582560/(1x252)
LCM = 18271582560/252
LCM = 72506280
Thus, we can understand that the LCM of 649,588,105,456 is 72506280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 649, 588, 105, 456
1. What is the LCM of 649, 588, 105, 456?
Answer: LCM of 649, 588, 105, 456 is 72506280.
2. How to calculate the LCM of 649, 588, 105, 456?
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 649, 588, 105, 456.
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}.