LCM of 276, 276, 844, 712, 124
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 276, 844, 712, 124 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 276, 276, 844, 712, 124. So, keep reading to learn more.
Given numbers are 276,276,844,712,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,276,844,712,124 is 321346248.
Find LCM of 276,276,844,712,124 with Prime Factorization
| 2 | 276, 276, 844, 712, 124 |
| 2 | 138, 138, 422, 356, 62 |
| 3 | 69, 69, 211, 178, 31 |
| 23 | 23, 23, 211, 178, 31 |
| 1, 1, 211, 178, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 1 x 1 x 211 x 178 x 31 = 321346248
Therefore, the lowest common multiple of 276,276,844,712,124 is 321346248.
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.
276 x 276 x 844 x 712 x 124 = 5676260124672
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
844 : 1, 2, 4, 211, 422, 844
712 : 1, 2, 4, 8, 89, 178, 356, 712
124 : 1, 2, 4, 31, 62, 124
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,276,844,712,124, is 4.
Now, the common factors can be found like this.
276:2x 2x 3x 23
276:2x 2x 3x 23
844:2x 2x 211
712:2x 2x 2x 89
124:2x 2x 31
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 2x 3x 23 = 4416
Therefore, the value for common factors is 4416.
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 = 5676260124672/(4x4416)
LCM = 5676260124672/17664
LCM = 321346248
Thus, we can understand that the LCM of 276,276,844,712,124 is 321346248.
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FAQs on LCM of 276, 276, 844, 712, 124
1. What is the LCM of 276, 276, 844, 712, 124?
Answer: LCM of 276, 276, 844, 712, 124 is 321346248.
2. How to calculate the LCM of 276, 276, 844, 712, 124?
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 276, 276, 844, 712, 124.
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}.