LCM of 733, 314, 160, 942, 485
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 733, 314, 160, 942, 485 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 733, 314, 160, 942, 485. So, keep reading to learn more.
Given numbers are 733,314,160,942,485
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,314,160,942,485 is 5358171360.
Find LCM of 733,314,160,942,485 with Prime Factorization
| 2 | 733, 314, 160, 942, 485 |
| 5 | 733, 157, 80, 471, 485 |
| 157 | 733, 157, 16, 471, 97 |
| 733, 1, 16, 3, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 157 x 733 x 1 x 16 x 3 x 97 = 5358171360
Therefore, the lowest common multiple of 733,314,160,942,485 is 5358171360.
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.
733 x 314 x 160 x 942 x 485 = 16824658070400
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.
733 : 1, 733
314 : 1, 2, 157, 314
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
942 : 1, 2, 3, 6, 157, 314, 471, 942
485 : 1, 5, 97, 485
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,314,160,942,485, is 1.
Now, the common factors can be found like this.
733:733
314:2x 157
160:2x 2x 2x 2x 2x 5
942:2x 3x 157
485:5x 97
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 5x 157 = 3140
Therefore, the value for common factors is 3140.
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 = 16824658070400/(1x3140)
LCM = 16824658070400/3140
LCM = 5358171360
Thus, we can understand that the LCM of 733,314,160,942,485 is 5358171360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 733, 314, 160, 942, 485
1. What is the LCM of 733, 314, 160, 942, 485?
Answer: LCM of 733, 314, 160, 942, 485 is 5358171360.
2. How to calculate the LCM of 733, 314, 160, 942, 485?
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 733, 314, 160, 942, 485.
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}.