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 841, 532, 928, 106

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


Find the LCM of 841, 532, 928, 106 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 841, 532, 928, 106. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 841,532,928,106

Given numbers are 841,532,928,106

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

The LCM of 841,532,928,106 is 189702688.

Find LCM of 841,532,928,106 with Prime Factorization


2 841, 532, 928, 106
2 841, 266, 464, 53
29 841, 133, 232, 53
29, 133, 8, 53

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

2 x 2 x 29 x 29 x 133 x 8 x 53 = 189702688

Therefore, the lowest common multiple of 841,532,928,106 is 189702688.

LCM Formula to Find Lowest Common Multiple of 841,532,928,106

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.

841 x 532 x 928 x 106 = 44011023616

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.

841 : 1, 29, 841

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,532,928,106, is 1.

Now, the common factors can be found like this.

841:29x 29

532:2x 2x 7x 19

928:2x 2x 2x 2x 2x 29

106:2x 53

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 29 = 232

Therefore, the value for common factors is 232.

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 = 44011023616/(1x232)

LCM = 44011023616/232

LCM = 189702688

Thus, we can understand that the LCM of 841,532,928,106 is 189702688.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 841, 532, 928, 106

1. What is the LCM of 841, 532, 928, 106?

Answer: LCM of 841, 532, 928, 106 is 189702688.

2. How to calculate the LCM of 841, 532, 928, 106?

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 841, 532, 928, 106.

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}.