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LCM of 540, 911, 357, 697

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


Find the LCM of 540, 911, 357, 697 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 540, 911, 357, 697. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 540,911,357,697

Given numbers are 540,911,357,697

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

The LCM of 540,911,357,697 is 2400175260.

Find LCM of 540,911,357,697 with Prime Factorization


3 540, 911, 357, 697
17 180, 911, 119, 697
180, 911, 7, 41

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

3 x 17 x 180 x 911 x 7 x 41 = 2400175260

Therefore, the lowest common multiple of 540,911,357,697 is 2400175260.

LCM Formula to Find Lowest Common Multiple of 540,911,357,697

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.

540 x 911 x 357 x 697 = 122408938260

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

911 : 1, 911

357 : 1, 3, 7, 17, 21, 51, 119, 357

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,911,357,697, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

911:911

357:3x 7x 17

697:17x 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 17 = 51

Therefore, the value for common factors is 51.

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 = 122408938260/(1x51)

LCM = 122408938260/51

LCM = 2400175260

Thus, we can understand that the LCM of 540,911,357,697 is 2400175260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 540, 911, 357, 697

1. What is the LCM of 540, 911, 357, 697?

Answer: LCM of 540, 911, 357, 697 is 2400175260.

2. How to calculate the LCM of 540, 911, 357, 697?

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 540, 911, 357, 697.

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}.