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LCM of 600, 423, 731, 987

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


Find the LCM of 600, 423, 731, 987 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 600, 423, 731, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 600,423,731,987

Given numbers are 600,423,731,987

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

The LCM of 600,423,731,987 is 432898200.

Find LCM of 600,423,731,987 with Prime Factorization


3 600, 423, 731, 987
47 200, 141, 731, 329
200, 3, 731, 7

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

3 x 47 x 200 x 3 x 731 x 7 = 432898200

Therefore, the lowest common multiple of 600,423,731,987 is 432898200.

LCM Formula to Find Lowest Common Multiple of 600,423,731,987

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.

600 x 423 x 731 x 987 = 183115938600

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.

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

423 : 1, 3, 9, 47, 141, 423

731 : 1, 17, 43, 731

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,423,731,987, is 1.

Now, the common factors can be found like this.

600:2x 2x 2x 3x 5x 5

423:3x 3x 47

731:17x 43

987:3x 7x 47

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

3x 3x 47 = 423

Therefore, the value for common factors is 423.

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 = 183115938600/(1x423)

LCM = 183115938600/423

LCM = 432898200

Thus, we can understand that the LCM of 600,423,731,987 is 432898200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 600, 423, 731, 987

1. What is the LCM of 600, 423, 731, 987?

Answer: LCM of 600, 423, 731, 987 is 432898200.

2. How to calculate the LCM of 600, 423, 731, 987?

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 600, 423, 731, 987.

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}.