LCM of 672, 178, 552, 234, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 178, 552, 234, 506 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 672, 178, 552, 234, 506. So, keep reading to learn more.
Given numbers are 672,178,552,234,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,178,552,234,506 is 590125536.
Find LCM of 672,178,552,234,506 with Prime Factorization
| 2 | 672, 178, 552, 234, 506 |
| 2 | 336, 89, 276, 117, 253 |
| 2 | 168, 89, 138, 117, 253 |
| 3 | 84, 89, 69, 117, 253 |
| 23 | 28, 89, 23, 39, 253 |
| 28, 89, 1, 39, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 28 x 89 x 1 x 39 x 11 = 590125536
Therefore, the lowest common multiple of 672,178,552,234,506 is 590125536.
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.
672 x 178 x 552 x 234 x 506 = 7817983100928
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.
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
178 : 1, 2, 89, 178
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
506 : 1, 2, 11, 22, 23, 46, 253, 506
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,178,552,234,506, is 2.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
178:2x 89
552:2x 2x 2x 3x 23
234:2x 3x 3x 13
506:2x 11x 23
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 23 = 6624
Therefore, the value for common factors is 6624.
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 = 7817983100928/(2x6624)
LCM = 7817983100928/13248
LCM = 590125536
Thus, we can understand that the LCM of 672,178,552,234,506 is 590125536.
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FAQs on LCM of 672, 178, 552, 234, 506
1. What is the LCM of 672, 178, 552, 234, 506?
Answer: LCM of 672, 178, 552, 234, 506 is 590125536.
2. How to calculate the LCM of 672, 178, 552, 234, 506?
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 672, 178, 552, 234, 506.
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}.