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 562, 949, 520

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


Find the LCM of 562, 949, 520 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 562, 949, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 562,949,520

Given numbers are 562,949,520

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

The LCM of 562,949,520 is 10666760.

Find LCM of 562,949,520 with Prime Factorization


2 562, 949, 520
13 281, 949, 260
281, 73, 20

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

2 x 13 x 281 x 73 x 20 = 10666760

Therefore, the lowest common multiple of 562,949,520 is 10666760.

LCM Formula to Find Lowest Common Multiple of 562,949,520

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.

562 x 949 x 520 = 277335760

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.

562 : 1, 2, 281, 562

949 : 1, 13, 73, 949

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,949,520, is 1.

Now, the common factors can be found like this.

562:2x 281

949:13x 73

520:2x 2x 2x 5x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 277335760/(1x26)

LCM = 277335760/26

LCM = 10666760

Thus, we can understand that the LCM of 562,949,520 is 10666760.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 562, 949, 520

1. What is the LCM of 562, 949, 520?

Answer: LCM of 562, 949, 520 is 10666760.

2. How to calculate the LCM of 562, 949, 520?

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 562, 949, 520.

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}.