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 207, 278, 668, 753

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


Find the LCM of 207, 278, 668, 753 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 207, 278, 668, 753. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 207,278,668,753

Given numbers are 207,278,668,753

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

The LCM of 207,278,668,753 is 4824311364.

Find LCM of 207,278,668,753 with Prime Factorization


2 207, 278, 668, 753
3 207, 139, 334, 753
69, 139, 334, 251

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

2 x 3 x 69 x 139 x 334 x 251 = 4824311364

Therefore, the lowest common multiple of 207,278,668,753 is 4824311364.

LCM Formula to Find Lowest Common Multiple of 207,278,668,753

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.

207 x 278 x 668 x 753 = 28945868184

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.

207 : 1, 3, 9, 23, 69, 207

278 : 1, 2, 139, 278

668 : 1, 2, 4, 167, 334, 668

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,278,668,753, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

278:2x 139

668:2x 2x 167

753:3x 251

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 28945868184/(1x6)

LCM = 28945868184/6

LCM = 4824311364

Thus, we can understand that the LCM of 207,278,668,753 is 4824311364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 207, 278, 668, 753

1. What is the LCM of 207, 278, 668, 753?

Answer: LCM of 207, 278, 668, 753 is 4824311364.

2. How to calculate the LCM of 207, 278, 668, 753?

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 207, 278, 668, 753.

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}.