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LCM of 314, 157, 885

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 314, 157, 885 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, 157, 885. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,157,885

Given numbers are 314,157,885

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 314,157,885 is 277890.

Find LCM of 314,157,885 with Prime Factorization


157 314, 157, 885
2, 1, 885

Multiply the prime numbers at the bottom and the left side.

157 x 2 x 1 x 885 = 277890

Therefore, the lowest common multiple of 314,157,885 is 277890.

LCM Formula to Find Lowest Common Multiple of 314,157,885

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 157 x 885 = 43628730

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

157 : 1, 157

885 : 1, 3, 5, 15, 59, 177, 295, 885

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,157,885, is 1.

Now, the common factors can be found like this.

314:2x 157

157:157

885:3x 5x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

157 = 157

Therefore, the value for common factors is 157.

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 = 43628730/(1x157)

LCM = 43628730/157

LCM = 277890

Thus, we can understand that the LCM of 314,157,885 is 277890.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 314, 157, 885

1. What is the LCM of 314, 157, 885?

Answer: LCM of 314, 157, 885 is 277890.

2. How to calculate the LCM of 314, 157, 885?

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, 157, 885.

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}.