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 576, 724, 156, 186, 677

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


Find the LCM of 576, 724, 156, 186, 677 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 576, 724, 156, 186, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 576,724,156,186,677

Given numbers are 576,724,156,186,677

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

The LCM of 576,724,156,186,677 is 28444268736.

Find LCM of 576,724,156,186,677 with Prime Factorization


2 576, 724, 156, 186, 677
2 288, 362, 78, 93, 677
3 144, 181, 39, 93, 677
48, 181, 13, 31, 677

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

2 x 2 x 3 x 48 x 181 x 13 x 31 x 677 = 28444268736

Therefore, the lowest common multiple of 576,724,156,186,677 is 28444268736.

LCM Formula to Find Lowest Common Multiple of 576,724,156,186,677

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.

576 x 724 x 156 x 186 x 677 = 8191949395968

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

724 : 1, 2, 4, 181, 362, 724

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

186 : 1, 2, 3, 6, 31, 62, 93, 186

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,724,156,186,677, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

724:2x 2x 181

156:2x 2x 3x 13

186:2x 3x 31

677:677

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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 8191949395968/(1x288)

LCM = 8191949395968/288

LCM = 28444268736

Thus, we can understand that the LCM of 576,724,156,186,677 is 28444268736.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 576, 724, 156, 186, 677

1. What is the LCM of 576, 724, 156, 186, 677?

Answer: LCM of 576, 724, 156, 186, 677 is 28444268736.

2. How to calculate the LCM of 576, 724, 156, 186, 677?

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 576, 724, 156, 186, 677.

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}.