LCM of 444, 931, 314, 300, 182
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 444, 931, 314, 300, 182 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, 931, 314, 300, 182. So, keep reading to learn more.
Given numbers are 444,931,314,300,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,931,314,300,182 is 21091898100.
Find LCM of 444,931,314,300,182 with Prime Factorization
| 2 | 444, 931, 314, 300, 182 |
| 2 | 222, 931, 157, 150, 91 |
| 3 | 111, 931, 157, 75, 91 |
| 7 | 37, 931, 157, 25, 91 |
| 37, 133, 157, 25, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 37 x 133 x 157 x 25 x 13 = 21091898100
Therefore, the lowest common multiple of 444,931,314,300,182 is 21091898100.
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 931 x 314 x 300 x 182 = 7086877761600
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
931 : 1, 7, 19, 49, 133, 931
314 : 1, 2, 157, 314
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,931,314,300,182, is 1.
Now, the common factors can be found like this.
444:2x 2x 3x 37
931:7x 7x 19
314:2x 157
300:2x 2x 3x 5x 5
182:2x 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 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 7086877761600/(1x336)
LCM = 7086877761600/336
LCM = 21091898100
Thus, we can understand that the LCM of 444,931,314,300,182 is 21091898100.
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FAQs on LCM of 444, 931, 314, 300, 182
1. What is the LCM of 444, 931, 314, 300, 182?
Answer: LCM of 444, 931, 314, 300, 182 is 21091898100.
2. How to calculate the LCM of 444, 931, 314, 300, 182?
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, 931, 314, 300, 182.
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}.