LCM of 945, 220, 547, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 220, 547, 924 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 945, 220, 547, 924. So, keep reading to learn more.
Given numbers are 945,220,547,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,220,547,924 is 22744260.
Find LCM of 945,220,547,924 with Prime Factorization
| 2 | 945, 220, 547, 924 |
| 2 | 945, 110, 547, 462 |
| 3 | 945, 55, 547, 231 |
| 5 | 315, 55, 547, 77 |
| 7 | 63, 11, 547, 77 |
| 11 | 9, 11, 547, 11 |
| 9, 1, 547, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 9 x 1 x 547 x 1 = 22744260
Therefore, the lowest common multiple of 945,220,547,924 is 22744260.
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.
945 x 220 x 547 x 924 = 105078481200
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
547 : 1, 547
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,220,547,924, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
220:2x 2x 5x 11
547:547
924:2x 2x 3x 7x 11
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 5x 7x 11 = 4620
Therefore, the value for common factors is 4620.
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 = 105078481200/(1x4620)
LCM = 105078481200/4620
LCM = 22744260
Thus, we can understand that the LCM of 945,220,547,924 is 22744260.
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FAQs on LCM of 945, 220, 547, 924
1. What is the LCM of 945, 220, 547, 924?
Answer: LCM of 945, 220, 547, 924 is 22744260.
2. How to calculate the LCM of 945, 220, 547, 924?
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 945, 220, 547, 924.
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}.