LCM of 496, 813, 624, 377, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 813, 624, 377, 813 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 496, 813, 624, 377, 813. So, keep reading to learn more.
Given numbers are 496,813,624,377,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,813,624,377,813 is 152024496.
Find LCM of 496,813,624,377,813 with Prime Factorization
| 2 | 496, 813, 624, 377, 813 |
| 2 | 248, 813, 312, 377, 813 |
| 2 | 124, 813, 156, 377, 813 |
| 2 | 62, 813, 78, 377, 813 |
| 3 | 31, 813, 39, 377, 813 |
| 13 | 31, 271, 13, 377, 271 |
| 271 | 31, 271, 1, 29, 271 |
| 31, 1, 1, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 271 x 31 x 1 x 1 x 29 x 1 = 152024496
Therefore, the lowest common multiple of 496,813,624,377,813 is 152024496.
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.
496 x 813 x 624 x 377 x 813 = 77123851114752
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
813 : 1, 3, 271, 813
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
377 : 1, 13, 29, 377
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,813,624,377,813, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
813:3x 271
624:2x 2x 2x 2x 3x 13
377:13x 29
813:3x 271
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 13x 271 = 507312
Therefore, the value for common factors is 507312.
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 = 77123851114752/(1x507312)
LCM = 77123851114752/507312
LCM = 152024496
Thus, we can understand that the LCM of 496,813,624,377,813 is 152024496.
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FAQs on LCM of 496, 813, 624, 377, 813
1. What is the LCM of 496, 813, 624, 377, 813?
Answer: LCM of 496, 813, 624, 377, 813 is 152024496.
2. How to calculate the LCM of 496, 813, 624, 377, 813?
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 496, 813, 624, 377, 813.
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}.