LCM of 504, 314, 772, 749, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 314, 772, 749, 902 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 504, 314, 772, 749, 902. So, keep reading to learn more.
Given numbers are 504,314,772,749,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,314,772,749,902 is 736966619928.
Find LCM of 504,314,772,749,902 with Prime Factorization
| 2 | 504, 314, 772, 749, 902 |
| 2 | 252, 157, 386, 749, 451 |
| 7 | 126, 157, 193, 749, 451 |
| 18, 157, 193, 107, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 18 x 157 x 193 x 107 x 451 = 736966619928
Therefore, the lowest common multiple of 504,314,772,749,902 is 736966619928.
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.
504 x 314 x 772 x 749 x 902 = 82540261431936
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.
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
314 : 1, 2, 157, 314
772 : 1, 2, 4, 193, 386, 772
749 : 1, 7, 107, 749
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,314,772,749,902, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
314:2x 157
772:2x 2x 193
749:7x 107
902:2x 11x 41
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 7 = 112
Therefore, the value for common factors is 112.
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 = 82540261431936/(1x112)
LCM = 82540261431936/112
LCM = 736966619928
Thus, we can understand that the LCM of 504,314,772,749,902 is 736966619928.
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FAQs on LCM of 504, 314, 772, 749, 902
1. What is the LCM of 504, 314, 772, 749, 902?
Answer: LCM of 504, 314, 772, 749, 902 is 736966619928.
2. How to calculate the LCM of 504, 314, 772, 749, 902?
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 504, 314, 772, 749, 902.
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}.