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LCM of 537, 172, 473, 713

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


Find the LCM of 537, 172, 473, 713 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 537, 172, 473, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 537,172,473,713

Given numbers are 537,172,473,713

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

The LCM of 537,172,473,713 is 724410852.

Find LCM of 537,172,473,713 with Prime Factorization


43 537, 172, 473, 713
537, 4, 11, 713

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

43 x 537 x 4 x 11 x 713 = 724410852

Therefore, the lowest common multiple of 537,172,473,713 is 724410852.

LCM Formula to Find Lowest Common Multiple of 537,172,473,713

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.

537 x 172 x 473 x 713 = 31149666636

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.

537 : 1, 3, 179, 537

172 : 1, 2, 4, 43, 86, 172

473 : 1, 11, 43, 473

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,172,473,713, is 1.

Now, the common factors can be found like this.

537:3x 179

172:2x 2x 43

473:11x 43

713:23x 31

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

43 = 43

Therefore, the value for common factors is 43.

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 = 31149666636/(1x43)

LCM = 31149666636/43

LCM = 724410852

Thus, we can understand that the LCM of 537,172,473,713 is 724410852.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 537, 172, 473, 713

1. What is the LCM of 537, 172, 473, 713?

Answer: LCM of 537, 172, 473, 713 is 724410852.

2. How to calculate the LCM of 537, 172, 473, 713?

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 537, 172, 473, 713.

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}.