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LCM of 547, 438, 730, 914

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


Find the LCM of 547, 438, 730, 914 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 547, 438, 730, 914. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 547,438,730,914

Given numbers are 547,438,730,914

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

The LCM of 547,438,730,914 is 547454010.

Find LCM of 547,438,730,914 with Prime Factorization


2 547, 438, 730, 914
73 547, 219, 365, 457
547, 3, 5, 457

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

2 x 73 x 547 x 3 x 5 x 457 = 547454010

Therefore, the lowest common multiple of 547,438,730,914 is 547454010.

LCM Formula to Find Lowest Common Multiple of 547,438,730,914

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.

547 x 438 x 730 x 914 = 159856570920

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.

547 : 1, 547

438 : 1, 2, 3, 6, 73, 146, 219, 438

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

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,438,730,914, is 1.

Now, the common factors can be found like this.

547:547

438:2x 3x 73

730:2x 5x 73

914:2x 457

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 73 = 292

Therefore, the value for common factors is 292.

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 = 159856570920/(1x292)

LCM = 159856570920/292

LCM = 547454010

Thus, we can understand that the LCM of 547,438,730,914 is 547454010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 547, 438, 730, 914

1. What is the LCM of 547, 438, 730, 914?

Answer: LCM of 547, 438, 730, 914 is 547454010.

2. How to calculate the LCM of 547, 438, 730, 914?

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 547, 438, 730, 914.

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}.