LCM of 773, 456, 988, 537, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 456, 988, 537, 576 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 773, 456, 988, 537, 576. So, keep reading to learn more.
Given numbers are 773,456,988,537,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,456,988,537,576 is 19685749824.
Find LCM of 773,456,988,537,576 with Prime Factorization
| 2 | 773, 456, 988, 537, 576 |
| 2 | 773, 228, 494, 537, 288 |
| 2 | 773, 114, 247, 537, 144 |
| 3 | 773, 57, 247, 537, 72 |
| 19 | 773, 19, 247, 179, 24 |
| 773, 1, 13, 179, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 773 x 1 x 13 x 179 x 24 = 19685749824
Therefore, the lowest common multiple of 773,456,988,537,576 is 19685749824.
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.
773 x 456 x 988 x 537 x 576 = 107720423036928
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.
773 : 1, 773
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
537 : 1, 3, 179, 537
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,456,988,537,576, is 1.
Now, the common factors can be found like this.
773:773
456:2x 2x 2x 3x 19
988:2x 2x 13x 19
537:3x 179
576:2x 2x 2x 2x 2x 2x 3x 3
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 2x 3x 3x 19 = 5472
Therefore, the value for common factors is 5472.
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 = 107720423036928/(1x5472)
LCM = 107720423036928/5472
LCM = 19685749824
Thus, we can understand that the LCM of 773,456,988,537,576 is 19685749824.
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FAQs on LCM of 773, 456, 988, 537, 576
1. What is the LCM of 773, 456, 988, 537, 576?
Answer: LCM of 773, 456, 988, 537, 576 is 19685749824.
2. How to calculate the LCM of 773, 456, 988, 537, 576?
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 773, 456, 988, 537, 576.
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}.