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 277, 824, 307, 744

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


Find the LCM of 277, 824, 307, 744 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 277, 824, 307, 744. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 277,824,307,744

Given numbers are 277,824,307,744

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

The LCM of 277,824,307,744 is 6516708648.

Find LCM of 277,824,307,744 with Prime Factorization


2 277, 824, 307, 744
2 277, 412, 307, 372
2 277, 206, 307, 186
277, 103, 307, 93

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

2 x 2 x 2 x 277 x 103 x 307 x 93 = 6516708648

Therefore, the lowest common multiple of 277,824,307,744 is 6516708648.

LCM Formula to Find Lowest Common Multiple of 277,824,307,744

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.

277 x 824 x 307 x 744 = 52133669184

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.

277 : 1, 277

824 : 1, 2, 4, 8, 103, 206, 412, 824

307 : 1, 307

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,824,307,744, is 1.

Now, the common factors can be found like this.

277:277

824:2x 2x 2x 103

307:307

744:2x 2x 2x 3x 31

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 2 = 8

Therefore, the value for common factors is 8.

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 = 52133669184/(1x8)

LCM = 52133669184/8

LCM = 6516708648

Thus, we can understand that the LCM of 277,824,307,744 is 6516708648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 277, 824, 307, 744

1. What is the LCM of 277, 824, 307, 744?

Answer: LCM of 277, 824, 307, 744 is 6516708648.

2. How to calculate the LCM of 277, 824, 307, 744?

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 277, 824, 307, 744.

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}.