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 967, 145, 722, 493, 315

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


Find the LCM of 967, 145, 722, 493, 315 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 967, 145, 722, 493, 315. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,145,722,493,315

Given numbers are 967,145,722,493,315

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

The LCM of 967,145,722,493,315 is 108422931330.

Find LCM of 967,145,722,493,315 with Prime Factorization


5 967, 145, 722, 493, 315
29 967, 29, 722, 493, 63
967, 1, 722, 17, 63

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

5 x 29 x 967 x 1 x 722 x 17 x 63 = 108422931330

Therefore, the lowest common multiple of 967,145,722,493,315 is 108422931330.

LCM Formula to Find Lowest Common Multiple of 967,145,722,493,315

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.

967 x 145 x 722 x 493 x 315 = 15721325042850

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.

967 : 1, 967

145 : 1, 5, 29, 145

722 : 1, 2, 19, 38, 361, 722

493 : 1, 17, 29, 493

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,145,722,493,315, is 1.

Now, the common factors can be found like this.

967:967

145:5x 29

722:2x 19x 19

493:17x 29

315:3x 3x 5x 7

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

5x 29 = 145

Therefore, the value for common factors is 145.

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 = 15721325042850/(1x145)

LCM = 15721325042850/145

LCM = 108422931330

Thus, we can understand that the LCM of 967,145,722,493,315 is 108422931330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 145, 722, 493, 315

1. What is the LCM of 967, 145, 722, 493, 315?

Answer: LCM of 967, 145, 722, 493, 315 is 108422931330.

2. How to calculate the LCM of 967, 145, 722, 493, 315?

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 967, 145, 722, 493, 315.

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}.