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, 745, 630, 615

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


Find the LCM of 649, 745, 630, 615 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, 745, 630, 615. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,745,630,615

Given numbers are 649,745,630,615

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

The LCM of 649,745,630,615 is 2497786830.

Find LCM of 649,745,630,615 with Prime Factorization


3 649, 745, 630, 615
5 649, 745, 210, 205
649, 149, 42, 41

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

3 x 5 x 649 x 149 x 42 x 41 = 2497786830

Therefore, the lowest common multiple of 649,745,630,615 is 2497786830.

LCM Formula to Find Lowest Common Multiple of 649,745,630,615

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 745 x 630 x 615 = 187334012250

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

745 : 1, 5, 149, 745

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

615 : 1, 3, 5, 15, 41, 123, 205, 615

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,745,630,615, is 1.

Now, the common factors can be found like this.

649:11x 59

745:5x 149

630:2x 3x 3x 5x 7

615:3x 5x 41

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

3x 5x 5 = 75

Therefore, the value for common factors is 75.

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 = 187334012250/(1x75)

LCM = 187334012250/75

LCM = 2497786830

Thus, we can understand that the LCM of 649,745,630,615 is 2497786830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 745, 630, 615

1. What is the LCM of 649, 745, 630, 615?

Answer: LCM of 649, 745, 630, 615 is 2497786830.

2. How to calculate the LCM of 649, 745, 630, 615?

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, 745, 630, 615.

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}.