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 730, 322, 584, 525

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


Find the LCM of 730, 322, 584, 525 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 730, 322, 584, 525. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 730,322,584,525

Given numbers are 730,322,584,525

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

The LCM of 730,322,584,525 is 7051800.

Find LCM of 730,322,584,525 with Prime Factorization


2 730, 322, 584, 525
5 365, 161, 292, 525
7 73, 161, 292, 105
73 73, 23, 292, 15
1, 23, 4, 15

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

2 x 5 x 7 x 73 x 1 x 23 x 4 x 15 = 7051800

Therefore, the lowest common multiple of 730,322,584,525 is 7051800.

LCM Formula to Find Lowest Common Multiple of 730,322,584,525

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.

730 x 322 x 584 x 525 = 72069396000

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

322 : 1, 2, 7, 14, 23, 46, 161, 322

584 : 1, 2, 4, 8, 73, 146, 292, 584

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,322,584,525, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

322:2x 7x 23

584:2x 2x 2x 73

525:3x 5x 5x 7

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 5x 7x 73 = 10220

Therefore, the value for common factors is 10220.

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 = 72069396000/(1x10220)

LCM = 72069396000/10220

LCM = 7051800

Thus, we can understand that the LCM of 730,322,584,525 is 7051800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 730, 322, 584, 525

1. What is the LCM of 730, 322, 584, 525?

Answer: LCM of 730, 322, 584, 525 is 7051800.

2. How to calculate the LCM of 730, 322, 584, 525?

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 730, 322, 584, 525.

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}.