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, 342, 398, 488, 793

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


Find the LCM of 967, 342, 398, 488, 793 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, 342, 398, 488, 793. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,342,398,488,793

Given numbers are 967,342,398,488,793

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

The LCM of 967,342,398,488,793 is 208755936792.

Find LCM of 967,342,398,488,793 with Prime Factorization


2 967, 342, 398, 488, 793
61 967, 171, 199, 244, 793
967, 171, 199, 4, 13

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

2 x 61 x 967 x 171 x 199 x 4 x 13 = 208755936792

Therefore, the lowest common multiple of 967,342,398,488,793 is 208755936792.

LCM Formula to Find Lowest Common Multiple of 967,342,398,488,793

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 342 x 398 x 488 x 793 = 50936448577248

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

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

398 : 1, 2, 199, 398

488 : 1, 2, 4, 8, 61, 122, 244, 488

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,342,398,488,793, is 1.

Now, the common factors can be found like this.

967:967

342:2x 3x 3x 19

398:2x 199

488:2x 2x 2x 61

793:13x 61

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 61 = 244

Therefore, the value for common factors is 244.

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 = 50936448577248/(1x244)

LCM = 50936448577248/244

LCM = 208755936792

Thus, we can understand that the LCM of 967,342,398,488,793 is 208755936792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 342, 398, 488, 793

1. What is the LCM of 967, 342, 398, 488, 793?

Answer: LCM of 967, 342, 398, 488, 793 is 208755936792.

2. How to calculate the LCM of 967, 342, 398, 488, 793?

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, 342, 398, 488, 793.

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}.