LCM of 314, 674, 732, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 674, 732, 802 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 314, 674, 732, 802. So, keep reading to learn more.
Given numbers are 314,674,732,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,674,732,802 is 15530484588.
Find LCM of 314,674,732,802 with Prime Factorization
| 2 | 314, 674, 732, 802 |
| 157, 337, 366, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 157 x 337 x 366 x 401 = 15530484588
Therefore, the lowest common multiple of 314,674,732,802 is 15530484588.
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.
314 x 674 x 732 x 802 = 124243876704
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.
314 : 1, 2, 157, 314
674 : 1, 2, 337, 674
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
802 : 1, 2, 401, 802
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,674,732,802, is 2.
Now, the common factors can be found like this.
314:2x 157
674:2x 337
732:2x 2x 3x 61
802:2x 401
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 124243876704/(2x4)
LCM = 124243876704/8
LCM = 15530484588
Thus, we can understand that the LCM of 314,674,732,802 is 15530484588.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 314, 674, 732, 802
1. What is the LCM of 314, 674, 732, 802?
Answer: LCM of 314, 674, 732, 802 is 15530484588.
2. How to calculate the LCM of 314, 674, 732, 802?
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 314, 674, 732, 802.
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}.