LCM of 791, 468, 924, 456, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 791, 468, 924, 456, 663 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 791, 468, 924, 456, 663. So, keep reading to learn more.
Given numbers are 791,468,924,456,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,468,924,456,663 is 2630555928.
Find LCM of 791,468,924,456,663 with Prime Factorization
| 2 | 791, 468, 924, 456, 663 |
| 2 | 791, 234, 462, 228, 663 |
| 3 | 791, 117, 231, 114, 663 |
| 7 | 791, 39, 77, 38, 221 |
| 13 | 113, 39, 11, 38, 221 |
| 113, 3, 11, 38, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 113 x 3 x 11 x 38 x 17 = 2630555928
Therefore, the lowest common multiple of 791,468,924,456,663 is 2630555928.
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.
791 x 468 x 924 x 456 x 663 = 103412414641536
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.
791 : 1, 7, 113, 791
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,468,924,456,663, is 1.
Now, the common factors can be found like this.
791:7x 113
468:2x 2x 3x 3x 13
924:2x 2x 3x 7x 11
456:2x 2x 2x 3x 19
663:3x 13x 17
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 3x 3x 7x 13 = 39312
Therefore, the value for common factors is 39312.
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 = 103412414641536/(1x39312)
LCM = 103412414641536/39312
LCM = 2630555928
Thus, we can understand that the LCM of 791,468,924,456,663 is 2630555928.
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FAQs on LCM of 791, 468, 924, 456, 663
1. What is the LCM of 791, 468, 924, 456, 663?
Answer: LCM of 791, 468, 924, 456, 663 is 2630555928.
2. How to calculate the LCM of 791, 468, 924, 456, 663?
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 791, 468, 924, 456, 663.
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}.