LCM of 945, 996, 490, 830, 755
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 996, 490, 830, 755 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, 996, 490, 830, 755. So, keep reading to learn more.
Given numbers are 945,996,490,830,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,996,490,830,755 is 331623180.
Find LCM of 945,996,490,830,755 with Prime Factorization
| 2 | 945, 996, 490, 830, 755 |
| 3 | 945, 498, 245, 415, 755 |
| 5 | 315, 166, 245, 415, 755 |
| 7 | 63, 166, 49, 83, 151 |
| 83 | 9, 166, 7, 83, 151 |
| 9, 2, 7, 1, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 83 x 9 x 2 x 7 x 1 x 151 = 331623180
Therefore, the lowest common multiple of 945,996,490,830,755 is 331623180.
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 996 x 490 x 830 x 755 = 289009601370000
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
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
830 : 1, 2, 5, 10, 83, 166, 415, 830
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,996,490,830,755, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
996:2x 2x 3x 83
490:2x 5x 7x 7
830:2x 5x 83
755:5x 151
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 5x 5x 7x 83 = 871500
Therefore, the value for common factors is 871500.
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 = 289009601370000/(1x871500)
LCM = 289009601370000/871500
LCM = 331623180
Thus, we can understand that the LCM of 945,996,490,830,755 is 331623180.
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FAQs on LCM of 945, 996, 490, 830, 755
1. What is the LCM of 945, 996, 490, 830, 755?
Answer: LCM of 945, 996, 490, 830, 755 is 331623180.
2. How to calculate the LCM of 945, 996, 490, 830, 755?
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, 996, 490, 830, 755.
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}.