LCM of 484, 767, 337, 374, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 767, 337, 374, 624 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 484, 767, 337, 374, 624. So, keep reading to learn more.
Given numbers are 484,767,337,374,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,767,337,374,624 is 25521182544.
Find LCM of 484,767,337,374,624 with Prime Factorization
| 2 | 484, 767, 337, 374, 624 |
| 2 | 242, 767, 337, 187, 312 |
| 11 | 121, 767, 337, 187, 156 |
| 13 | 11, 767, 337, 17, 156 |
| 11, 59, 337, 17, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 11 x 59 x 337 x 17 x 12 = 25521182544
Therefore, the lowest common multiple of 484,767,337,374,624 is 25521182544.
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.
484 x 767 x 337 x 374 x 624 = 29196232830336
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
767 : 1, 13, 59, 767
337 : 1, 337
374 : 1, 2, 11, 17, 22, 34, 187, 374
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,767,337,374,624, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
767:13x 59
337:337
374:2x 11x 17
624:2x 2x 2x 2x 3x 13
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 11x 13 = 1144
Therefore, the value for common factors is 1144.
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 = 29196232830336/(1x1144)
LCM = 29196232830336/1144
LCM = 25521182544
Thus, we can understand that the LCM of 484,767,337,374,624 is 25521182544.
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FAQs on LCM of 484, 767, 337, 374, 624
1. What is the LCM of 484, 767, 337, 374, 624?
Answer: LCM of 484, 767, 337, 374, 624 is 25521182544.
2. How to calculate the LCM of 484, 767, 337, 374, 624?
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 484, 767, 337, 374, 624.
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}.