LCM of 773, 300, 494, 465, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 300, 494, 465, 352 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, 300, 494, 465, 352. So, keep reading to learn more.
Given numbers are 773,300,494,465,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,300,494,465,352 is 156257930400.
Find LCM of 773,300,494,465,352 with Prime Factorization
| 2 | 773, 300, 494, 465, 352 |
| 2 | 773, 150, 247, 465, 176 |
| 3 | 773, 75, 247, 465, 88 |
| 5 | 773, 25, 247, 155, 88 |
| 773, 5, 247, 31, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 773 x 5 x 247 x 31 x 88 = 156257930400
Therefore, the lowest common multiple of 773,300,494,465,352 is 156257930400.
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 300 x 494 x 465 x 352 = 18750951648000
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
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
494 : 1, 2, 13, 19, 26, 38, 247, 494
465 : 1, 3, 5, 15, 31, 93, 155, 465
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,300,494,465,352, is 1.
Now, the common factors can be found like this.
773:773
300:2x 2x 3x 5x 5
494:2x 13x 19
465:3x 5x 31
352:2x 2x 2x 2x 2x 11
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 18750951648000/(1x120)
LCM = 18750951648000/120
LCM = 156257930400
Thus, we can understand that the LCM of 773,300,494,465,352 is 156257930400.
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FAQs on LCM of 773, 300, 494, 465, 352
1. What is the LCM of 773, 300, 494, 465, 352?
Answer: LCM of 773, 300, 494, 465, 352 is 156257930400.
2. How to calculate the LCM of 773, 300, 494, 465, 352?
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, 300, 494, 465, 352.
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}.