LCM of 949, 624, 606, 897, 563
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 624, 606, 897, 563 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 949, 624, 606, 897, 563. So, keep reading to learn more.
Given numbers are 949,624,606,897,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,624,606,897,563 is 59575137648.
Find LCM of 949,624,606,897,563 with Prime Factorization
| 2 | 949, 624, 606, 897, 563 |
| 3 | 949, 312, 303, 897, 563 |
| 13 | 949, 104, 101, 299, 563 |
| 73, 8, 101, 23, 563 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 73 x 8 x 101 x 23 x 563 = 59575137648
Therefore, the lowest common multiple of 949,624,606,897,563 is 59575137648.
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.
949 x 624 x 606 x 897 x 563 = 181227568725216
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.
949 : 1, 13, 73, 949
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
606 : 1, 2, 3, 6, 101, 202, 303, 606
897 : 1, 3, 13, 23, 39, 69, 299, 897
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,624,606,897,563, is 1.
Now, the common factors can be found like this.
949:13x 73
624:2x 2x 2x 2x 3x 13
606:2x 3x 101
897:3x 13x 23
563:563
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 13 = 3042
Therefore, the value for common factors is 3042.
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 = 181227568725216/(1x3042)
LCM = 181227568725216/3042
LCM = 59575137648
Thus, we can understand that the LCM of 949,624,606,897,563 is 59575137648.
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FAQs on LCM of 949, 624, 606, 897, 563
1. What is the LCM of 949, 624, 606, 897, 563?
Answer: LCM of 949, 624, 606, 897, 563 is 59575137648.
2. How to calculate the LCM of 949, 624, 606, 897, 563?
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 949, 624, 606, 897, 563.
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}.