LCM of 874, 908, 552, 637, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 908, 552, 637, 949 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 874, 908, 552, 637, 949. So, keep reading to learn more.
Given numbers are 874,908,552,637,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,908,552,637,949 is 110708464776.
Find LCM of 874,908,552,637,949 with Prime Factorization
| 2 | 874, 908, 552, 637, 949 |
| 2 | 437, 454, 276, 637, 949 |
| 13 | 437, 227, 138, 637, 949 |
| 23 | 437, 227, 138, 49, 73 |
| 19, 227, 6, 49, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 23 x 19 x 227 x 6 x 49 x 73 = 110708464776
Therefore, the lowest common multiple of 874,908,552,637,949 is 110708464776.
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.
874 x 908 x 552 x 637 x 949 = 264814647744192
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
908 : 1, 2, 4, 227, 454, 908
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
637 : 1, 7, 13, 49, 91, 637
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,908,552,637,949, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
908:2x 2x 227
552:2x 2x 2x 3x 23
637:7x 7x 13
949:13x 73
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 13x 23 = 2392
Therefore, the value for common factors is 2392.
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 = 264814647744192/(1x2392)
LCM = 264814647744192/2392
LCM = 110708464776
Thus, we can understand that the LCM of 874,908,552,637,949 is 110708464776.
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FAQs on LCM of 874, 908, 552, 637, 949
1. What is the LCM of 874, 908, 552, 637, 949?
Answer: LCM of 874, 908, 552, 637, 949 is 110708464776.
2. How to calculate the LCM of 874, 908, 552, 637, 949?
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 874, 908, 552, 637, 949.
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}.