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LCM of 487, 584, 889, 894, 725

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


Find the LCM of 487, 584, 889, 894, 725 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 487, 584, 889, 894, 725. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,584,889,894,725

Given numbers are 487,584,889,894,725

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

The LCM of 487,584,889,894,725 is 81938705591400.

Find LCM of 487,584,889,894,725 with Prime Factorization


2 487, 584, 889, 894, 725
487, 292, 889, 447, 725

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

2 x 487 x 292 x 889 x 447 x 725 = 81938705591400

Therefore, the lowest common multiple of 487,584,889,894,725 is 81938705591400.

LCM Formula to Find Lowest Common Multiple of 487,584,889,894,725

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.

487 x 584 x 889 x 894 x 725 = 163877411182800

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.

487 : 1, 487

584 : 1, 2, 4, 8, 73, 146, 292, 584

889 : 1, 7, 127, 889

894 : 1, 2, 3, 6, 149, 298, 447, 894

725 : 1, 5, 25, 29, 145, 725

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,584,889,894,725, is 1.

Now, the common factors can be found like this.

487:487

584:2x 2x 2x 73

889:7x 127

894:2x 3x 149

725:5x 5x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 163877411182800/(1x2)

LCM = 163877411182800/2

LCM = 81938705591400

Thus, we can understand that the LCM of 487,584,889,894,725 is 81938705591400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 584, 889, 894, 725

1. What is the LCM of 487, 584, 889, 894, 725?

Answer: LCM of 487, 584, 889, 894, 725 is 81938705591400.

2. How to calculate the LCM of 487, 584, 889, 894, 725?

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 487, 584, 889, 894, 725.

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}.