LCM of 948, 665, 450, 636, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 665, 450, 636, 948 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 948, 665, 450, 636, 948. So, keep reading to learn more.
Given numbers are 948,665,450,636,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,665,450,636,948 is 501183900.
Find LCM of 948,665,450,636,948 with Prime Factorization
| 2 | 948, 665, 450, 636, 948 |
| 2 | 474, 665, 225, 318, 474 |
| 3 | 237, 665, 225, 159, 237 |
| 5 | 79, 665, 75, 53, 79 |
| 79 | 79, 133, 15, 53, 79 |
| 1, 133, 15, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 79 x 1 x 133 x 15 x 53 x 1 = 501183900
Therefore, the lowest common multiple of 948,665,450,636,948 is 501183900.
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.
948 x 665 x 450 x 636 x 948 = 171044041392000
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
665 : 1, 5, 7, 19, 35, 95, 133, 665
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,665,450,636,948, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
665:5x 7x 19
450:2x 3x 3x 5x 5
636:2x 2x 3x 53
948:2x 2x 3x 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 3x 3x 3x 5x 79 = 341280
Therefore, the value for common factors is 341280.
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 = 171044041392000/(1x341280)
LCM = 171044041392000/341280
LCM = 501183900
Thus, we can understand that the LCM of 948,665,450,636,948 is 501183900.
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FAQs on LCM of 948, 665, 450, 636, 948
1. What is the LCM of 948, 665, 450, 636, 948?
Answer: LCM of 948, 665, 450, 636, 948 is 501183900.
2. How to calculate the LCM of 948, 665, 450, 636, 948?
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 948, 665, 450, 636, 948.
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}.