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LCM of 544, 323, 303, 707

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


Find the LCM of 544, 323, 303, 707 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 544, 323, 303, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 544,323,303,707

Given numbers are 544,323,303,707

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

The LCM of 544,323,303,707 is 21922656.

Find LCM of 544,323,303,707 with Prime Factorization


17 544, 323, 303, 707
101 32, 19, 303, 707
32, 19, 3, 7

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

17 x 101 x 32 x 19 x 3 x 7 = 21922656

Therefore, the lowest common multiple of 544,323,303,707 is 21922656.

LCM Formula to Find Lowest Common Multiple of 544,323,303,707

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.

544 x 323 x 303 x 707 = 37641200352

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

323 : 1, 17, 19, 323

303 : 1, 3, 101, 303

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,323,303,707, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

323:17x 19

303:3x 101

707:7x 101

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

17x 101 = 1717

Therefore, the value for common factors is 1717.

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 = 37641200352/(1x1717)

LCM = 37641200352/1717

LCM = 21922656

Thus, we can understand that the LCM of 544,323,303,707 is 21922656.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 544, 323, 303, 707

1. What is the LCM of 544, 323, 303, 707?

Answer: LCM of 544, 323, 303, 707 is 21922656.

2. How to calculate the LCM of 544, 323, 303, 707?

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 544, 323, 303, 707.

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}.