LCM of 945, 323, 220, 253, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 323, 220, 253, 646 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, 323, 220, 253, 646. So, keep reading to learn more.
Given numbers are 945,323,220,253,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,323,220,253,646 is 308897820.
Find LCM of 945,323,220,253,646 with Prime Factorization
| 2 | 945, 323, 220, 253, 646 |
| 5 | 945, 323, 110, 253, 323 |
| 11 | 189, 323, 22, 253, 323 |
| 17 | 189, 323, 2, 23, 323 |
| 19 | 189, 19, 2, 23, 19 |
| 189, 1, 2, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 19 x 189 x 1 x 2 x 23 x 1 = 308897820
Therefore, the lowest common multiple of 945,323,220,253,646 is 308897820.
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 323 x 220 x 253 x 646 = 10975139544600
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
323 : 1, 17, 19, 323
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
253 : 1, 11, 23, 253
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,323,220,253,646, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
323:17x 19
220:2x 2x 5x 11
253:11x 23
646:2x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 17x 19 = 35530
Therefore, the value for common factors is 35530.
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 = 10975139544600/(1x35530)
LCM = 10975139544600/35530
LCM = 308897820
Thus, we can understand that the LCM of 945,323,220,253,646 is 308897820.
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FAQs on LCM of 945, 323, 220, 253, 646
1. What is the LCM of 945, 323, 220, 253, 646?
Answer: LCM of 945, 323, 220, 253, 646 is 308897820.
2. How to calculate the LCM of 945, 323, 220, 253, 646?
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, 323, 220, 253, 646.
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}.