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LCM of 723, 315, 630, 542

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


Find the LCM of 723, 315, 630, 542 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 723, 315, 630, 542. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 723,315,630,542

Given numbers are 723,315,630,542

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

The LCM of 723,315,630,542 is 41145930.

Find LCM of 723,315,630,542 with Prime Factorization


2 723, 315, 630, 542
3 723, 315, 315, 271
3 241, 105, 105, 271
5 241, 35, 35, 271
7 241, 7, 7, 271
241, 1, 1, 271

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

2 x 3 x 3 x 5 x 7 x 241 x 1 x 1 x 271 = 41145930

Therefore, the lowest common multiple of 723,315,630,542 is 41145930.

LCM Formula to Find Lowest Common Multiple of 723,315,630,542

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.

723 x 315 x 630 x 542 = 77765807700

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.

723 : 1, 3, 241, 723

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,315,630,542, is 1.

Now, the common factors can be found like this.

723:3x 241

315:3x 3x 5x 7

630:2x 3x 3x 5x 7

542:2x 271

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

2x 3x 3x 3x 5x 7 = 1890

Therefore, the value for common factors is 1890.

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 = 77765807700/(1x1890)

LCM = 77765807700/1890

LCM = 41145930

Thus, we can understand that the LCM of 723,315,630,542 is 41145930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 723, 315, 630, 542

1. What is the LCM of 723, 315, 630, 542?

Answer: LCM of 723, 315, 630, 542 is 41145930.

2. How to calculate the LCM of 723, 315, 630, 542?

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 723, 315, 630, 542.

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}.