LCM of 444, 736, 962, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 444, 736, 962, 546 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 444, 736, 962, 546. So, keep reading to learn more.
Given numbers are 444,736,962,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,736,962,546 is 7434336.
Find LCM of 444,736,962,546 with Prime Factorization
| 2 | 444, 736, 962, 546 |
| 2 | 222, 368, 481, 273 |
| 3 | 111, 184, 481, 273 |
| 13 | 37, 184, 481, 91 |
| 37 | 37, 184, 37, 7 |
| 1, 184, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 37 x 1 x 184 x 1 x 7 = 7434336
Therefore, the lowest common multiple of 444,736,962,546 is 7434336.
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.
444 x 736 x 962 x 546 = 171643949568
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.
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
962 : 1, 2, 13, 26, 37, 74, 481, 962
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,736,962,546, is 2.
Now, the common factors can be found like this.
444:2x 2x 3x 37
736:2x 2x 2x 2x 2x 23
962:2x 13x 37
546:2x 3x 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.
2x 2x 2x 3x 13x 37 = 11544
Therefore, the value for common factors is 11544.
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 = 171643949568/(2x11544)
LCM = 171643949568/23088
LCM = 7434336
Thus, we can understand that the LCM of 444,736,962,546 is 7434336.
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FAQs on LCM of 444, 736, 962, 546
1. What is the LCM of 444, 736, 962, 546?
Answer: LCM of 444, 736, 962, 546 is 7434336.
2. How to calculate the LCM of 444, 736, 962, 546?
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 444, 736, 962, 546.
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}.