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LCM of 540, 898, 730, 970

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


Find the LCM of 540, 898, 730, 970 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, 898, 730, 970. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 540,898,730,970

Given numbers are 540,898,730,970

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

The LCM of 540,898,730,970 is 1716859260.

Find LCM of 540,898,730,970 with Prime Factorization


2 540, 898, 730, 970
5 270, 449, 365, 485
54, 449, 73, 97

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

2 x 5 x 54 x 449 x 73 x 97 = 1716859260

Therefore, the lowest common multiple of 540,898,730,970 is 1716859260.

LCM Formula to Find Lowest Common Multiple of 540,898,730,970

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 898 x 730 x 970 = 343371852000

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

898 : 1, 2, 449, 898

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

970 : 1, 2, 5, 10, 97, 194, 485, 970

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,898,730,970, is 2.

Now, the common factors can be found like this.

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

898:2x 449

730:2x 5x 73

970:2x 5x 97

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 5 = 100

Therefore, the value for common factors is 100.

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 = 343371852000/(2x100)

LCM = 343371852000/200

LCM = 1716859260

Thus, we can understand that the LCM of 540,898,730,970 is 1716859260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 540, 898, 730, 970

1. What is the LCM of 540, 898, 730, 970?

Answer: LCM of 540, 898, 730, 970 is 1716859260.

2. How to calculate the LCM of 540, 898, 730, 970?

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, 898, 730, 970.

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}.