LCM of 552, 567, 299, 661, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 567, 299, 661, 637 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, 567, 299, 661, 637. So, keep reading to learn more.
Given numbers are 552,567,299,661,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,567,299,661,637 is 6275433528.
Find LCM of 552,567,299,661,637 with Prime Factorization
| 3 | 552, 567, 299, 661, 637 |
| 7 | 184, 189, 299, 661, 637 |
| 13 | 184, 27, 299, 661, 91 |
| 23 | 184, 27, 23, 661, 7 |
| 8, 27, 1, 661, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 23 x 8 x 27 x 1 x 661 x 7 = 6275433528
Therefore, the lowest common multiple of 552,567,299,661,637 is 6275433528.
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 567 x 299 x 661 x 637 = 39403447122312
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
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
299 : 1, 13, 23, 299
661 : 1, 661
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,567,299,661,637, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
567:3x 3x 3x 3x 7
299:13x 23
661:661
637:7x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 13x 23 = 6279
Therefore, the value for common factors is 6279.
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 = 39403447122312/(1x6279)
LCM = 39403447122312/6279
LCM = 6275433528
Thus, we can understand that the LCM of 552,567,299,661,637 is 6275433528.
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FAQs on LCM of 552, 567, 299, 661, 637
1. What is the LCM of 552, 567, 299, 661, 637?
Answer: LCM of 552, 567, 299, 661, 637 is 6275433528.
2. How to calculate the LCM of 552, 567, 299, 661, 637?
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, 567, 299, 661, 637.
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}.