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 867, 340, 298, 640

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


Find the LCM of 867, 340, 298, 640 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 867, 340, 298, 640. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 867,340,298,640

Given numbers are 867,340,298,640

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

The LCM of 867,340,298,640 is 82677120.

Find LCM of 867,340,298,640 with Prime Factorization


2 867, 340, 298, 640
2 867, 170, 149, 320
5 867, 85, 149, 160
17 867, 17, 149, 32
51, 1, 149, 32

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

2 x 2 x 5 x 17 x 51 x 1 x 149 x 32 = 82677120

Therefore, the lowest common multiple of 867,340,298,640 is 82677120.

LCM Formula to Find Lowest Common Multiple of 867,340,298,640

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.

867 x 340 x 298 x 640 = 56220441600

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.

867 : 1, 3, 17, 51, 289, 867

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

298 : 1, 2, 149, 298

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,340,298,640, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

340:2x 2x 5x 17

298:2x 149

640:2x 2x 2x 2x 2x 2x 2x 5

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 2x 5x 17 = 680

Therefore, the value for common factors is 680.

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 = 56220441600/(1x680)

LCM = 56220441600/680

LCM = 82677120

Thus, we can understand that the LCM of 867,340,298,640 is 82677120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 867, 340, 298, 640

1. What is the LCM of 867, 340, 298, 640?

Answer: LCM of 867, 340, 298, 640 is 82677120.

2. How to calculate the LCM of 867, 340, 298, 640?

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 867, 340, 298, 640.

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}.