LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 307, 314, 314, 495

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


Find the LCM of 307, 314, 314, 495 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 307, 314, 314, 495. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 307,314,314,495

Given numbers are 307,314,314,495

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

The LCM of 307,314,314,495 is 47717010.

Find LCM of 307,314,314,495 with Prime Factorization


2 307, 314, 314, 495
157 307, 157, 157, 495
307, 1, 1, 495

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

2 x 157 x 307 x 1 x 1 x 495 = 47717010

Therefore, the lowest common multiple of 307,314,314,495 is 47717010.

LCM Formula to Find Lowest Common Multiple of 307,314,314,495

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.

307 x 314 x 314 x 495 = 14983141140

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.

307 : 1, 307

314 : 1, 2, 157, 314

314 : 1, 2, 157, 314

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,314,314,495, is 1.

Now, the common factors can be found like this.

307:307

314:2x 157

314:2x 157

495:3x 3x 5x 11

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

2x 157 = 314

Therefore, the value for common factors is 314.

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 = 14983141140/(1x314)

LCM = 14983141140/314

LCM = 47717010

Thus, we can understand that the LCM of 307,314,314,495 is 47717010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 307, 314, 314, 495

1. What is the LCM of 307, 314, 314, 495?

Answer: LCM of 307, 314, 314, 495 is 47717010.

2. How to calculate the LCM of 307, 314, 314, 495?

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 307, 314, 314, 495.

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}.