LCM of 552, 624, 506, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 624, 506, 817 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 552, 624, 506, 817. So, keep reading to learn more.
Given numbers are 552,624,506,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,624,506,817 is 128981424.
Find LCM of 552,624,506,817 with Prime Factorization
| 2 | 552, 624, 506, 817 |
| 2 | 276, 312, 253, 817 |
| 2 | 138, 156, 253, 817 |
| 3 | 69, 78, 253, 817 |
| 23 | 23, 26, 253, 817 |
| 1, 26, 11, 817 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 1 x 26 x 11 x 817 = 128981424
Therefore, the lowest common multiple of 552,624,506,817 is 128981424.
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.
552 x 624 x 506 x 817 = 142395492096
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
506 : 1, 2, 11, 22, 23, 46, 253, 506
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,624,506,817, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
624:2x 2x 2x 2x 3x 13
506:2x 11x 23
817:19x 43
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 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 142395492096/(1x1104)
LCM = 142395492096/1104
LCM = 128981424
Thus, we can understand that the LCM of 552,624,506,817 is 128981424.
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FAQs on LCM of 552, 624, 506, 817
1. What is the LCM of 552, 624, 506, 817?
Answer: LCM of 552, 624, 506, 817 is 128981424.
2. How to calculate the LCM of 552, 624, 506, 817?
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 552, 624, 506, 817.
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}.