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 649, 306, 810, 748

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


Find the LCM of 649, 306, 810, 748 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 649, 306, 810, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,306,810,748

Given numbers are 649,306,810,748

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

The LCM of 649,306,810,748 is 17873460.

Find LCM of 649,306,810,748 with Prime Factorization


2 649, 306, 810, 748
3 649, 153, 405, 374
3 649, 51, 135, 374
11 649, 17, 45, 374
17 59, 17, 45, 34
59, 1, 45, 2

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

2 x 3 x 3 x 11 x 17 x 59 x 1 x 45 x 2 = 17873460

Therefore, the lowest common multiple of 649,306,810,748 is 17873460.

LCM Formula to Find Lowest Common Multiple of 649,306,810,748

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.

649 x 306 x 810 x 748 = 120324132720

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.

649 : 1, 11, 59, 649

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,306,810,748, is 1.

Now, the common factors can be found like this.

649:11x 59

306:2x 3x 3x 17

810:2x 3x 3x 3x 3x 5

748:2x 2x 11x 17

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 3x 3x 11x 17 = 6732

Therefore, the value for common factors is 6732.

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 = 120324132720/(1x6732)

LCM = 120324132720/6732

LCM = 17873460

Thus, we can understand that the LCM of 649,306,810,748 is 17873460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 306, 810, 748

1. What is the LCM of 649, 306, 810, 748?

Answer: LCM of 649, 306, 810, 748 is 17873460.

2. How to calculate the LCM of 649, 306, 810, 748?

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 649, 306, 810, 748.

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}.