LCM of 626, 546, 224, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 626, 546, 224, 105 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 626, 546, 224, 105. So, keep reading to learn more.
Given numbers are 626,546,224,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,546,224,105 is 13671840.
Find LCM of 626,546,224,105 with Prime Factorization
| 2 | 626, 546, 224, 105 |
| 3 | 313, 273, 112, 105 |
| 7 | 313, 91, 112, 35 |
| 313, 13, 16, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 313 x 13 x 16 x 5 = 13671840
Therefore, the lowest common multiple of 626,546,224,105 is 13671840.
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.
626 x 546 x 224 x 105 = 8039041920
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.
626 : 1, 2, 313, 626
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,546,224,105, is 1.
Now, the common factors can be found like this.
626:2x 313
546:2x 3x 7x 13
224:2x 2x 2x 2x 2x 7
105:3x 5x 7
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 3x 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 8039041920/(1x588)
LCM = 8039041920/588
LCM = 13671840
Thus, we can understand that the LCM of 626,546,224,105 is 13671840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 626, 546, 224, 105
1. What is the LCM of 626, 546, 224, 105?
Answer: LCM of 626, 546, 224, 105 is 13671840.
2. How to calculate the LCM of 626, 546, 224, 105?
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 626, 546, 224, 105.
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}.