LCM of 479, 697, 496, 924, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 697, 496, 924, 279 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 479, 697, 496, 924, 279. So, keep reading to learn more.
Given numbers are 479,697,496,924,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,697,496,924,279 is 114758061264.
Find LCM of 479,697,496,924,279 with Prime Factorization
| 2 | 479, 697, 496, 924, 279 |
| 2 | 479, 697, 248, 462, 279 |
| 3 | 479, 697, 124, 231, 279 |
| 31 | 479, 697, 124, 77, 93 |
| 479, 697, 4, 77, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 479 x 697 x 4 x 77 x 3 = 114758061264
Therefore, the lowest common multiple of 479,697,496,924,279 is 114758061264.
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.
479 x 697 x 496 x 924 x 279 = 42689998790208
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.
479 : 1, 479
697 : 1, 17, 41, 697
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,697,496,924,279, is 1.
Now, the common factors can be found like this.
479:479
697:17x 41
496:2x 2x 2x 2x 31
924:2x 2x 3x 7x 11
279:3x 3x 31
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 31 = 372
Therefore, the value for common factors is 372.
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 = 42689998790208/(1x372)
LCM = 42689998790208/372
LCM = 114758061264
Thus, we can understand that the LCM of 479,697,496,924,279 is 114758061264.
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FAQs on LCM of 479, 697, 496, 924, 279
1. What is the LCM of 479, 697, 496, 924, 279?
Answer: LCM of 479, 697, 496, 924, 279 is 114758061264.
2. How to calculate the LCM of 479, 697, 496, 924, 279?
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 479, 697, 496, 924, 279.
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}.