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 341, 440, 655, 820, 892

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


Find the LCM of 341, 440, 655, 820, 892 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 341, 440, 655, 820, 892. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,440,655,820,892

Given numbers are 341,440,655,820,892

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

The LCM of 341,440,655,820,892 is 16337078120.

Find LCM of 341,440,655,820,892 with Prime Factorization


2 341, 440, 655, 820, 892
2 341, 220, 655, 410, 446
5 341, 110, 655, 205, 223
11 341, 22, 131, 41, 223
31, 2, 131, 41, 223

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

2 x 2 x 5 x 11 x 31 x 2 x 131 x 41 x 223 = 16337078120

Therefore, the lowest common multiple of 341,440,655,820,892 is 16337078120.

LCM Formula to Find Lowest Common Multiple of 341,440,655,820,892

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.

341 x 440 x 655 x 820 x 892 = 71883143728000

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.

341 : 1, 11, 31, 341

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

655 : 1, 5, 131, 655

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,440,655,820,892, is 1.

Now, the common factors can be found like this.

341:11x 31

440:2x 2x 2x 5x 11

655:5x 131

820:2x 2x 5x 41

892:2x 2x 223

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 2x 5x 5x 11 = 4400

Therefore, the value for common factors is 4400.

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 = 71883143728000/(1x4400)

LCM = 71883143728000/4400

LCM = 16337078120

Thus, we can understand that the LCM of 341,440,655,820,892 is 16337078120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 440, 655, 820, 892

1. What is the LCM of 341, 440, 655, 820, 892?

Answer: LCM of 341, 440, 655, 820, 892 is 16337078120.

2. How to calculate the LCM of 341, 440, 655, 820, 892?

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 341, 440, 655, 820, 892.

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}.