LCM of 118, 785, 400, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 785, 400, 314 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 118, 785, 400, 314. So, keep reading to learn more.
Given numbers are 118,785,400,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,785,400,314 is 3705200.
Find LCM of 118,785,400,314 with Prime Factorization
| 2 | 118, 785, 400, 314 |
| 5 | 59, 785, 200, 157 |
| 157 | 59, 157, 40, 157 |
| 59, 1, 40, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 157 x 59 x 1 x 40 x 1 = 3705200
Therefore, the lowest common multiple of 118,785,400,314 is 3705200.
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.
118 x 785 x 400 x 314 = 11634328000
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.
118 : 1, 2, 59, 118
785 : 1, 5, 157, 785
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,785,400,314, is 1.
Now, the common factors can be found like this.
118:2x 59
785:5x 157
400:2x 2x 2x 2x 5x 5
314:2x 157
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 = 11634328000/(1x3140)
LCM = 11634328000/3140
LCM = 3705200
Thus, we can understand that the LCM of 118,785,400,314 is 3705200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 118, 785, 400, 314
1. What is the LCM of 118, 785, 400, 314?
Answer: LCM of 118, 785, 400, 314 is 3705200.
2. How to calculate the LCM of 118, 785, 400, 314?
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 118, 785, 400, 314.
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}.