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LCM of 467, 336, 742, 900

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


Find the LCM of 467, 336, 742, 900 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 467, 336, 742, 900. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 467,336,742,900

Given numbers are 467,336,742,900

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

The LCM of 467,336,742,900 is 623725200.

Find LCM of 467,336,742,900 with Prime Factorization


2 467, 336, 742, 900
2 467, 168, 371, 450
3 467, 84, 371, 225
7 467, 28, 371, 75
467, 4, 53, 75

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

2 x 2 x 3 x 7 x 467 x 4 x 53 x 75 = 623725200

Therefore, the lowest common multiple of 467,336,742,900 is 623725200.

LCM Formula to Find Lowest Common Multiple of 467,336,742,900

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.

467 x 336 x 742 x 900 = 104785833600

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.

467 : 1, 467

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

742 : 1, 2, 7, 14, 53, 106, 371, 742

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,336,742,900, is 1.

Now, the common factors can be found like this.

467:467

336:2x 2x 2x 2x 3x 7

742:2x 7x 53

900:2x 2x 3x 3x 5x 5

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 2x 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 104785833600/(1x168)

LCM = 104785833600/168

LCM = 623725200

Thus, we can understand that the LCM of 467,336,742,900 is 623725200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 467, 336, 742, 900

1. What is the LCM of 467, 336, 742, 900?

Answer: LCM of 467, 336, 742, 900 is 623725200.

2. How to calculate the LCM of 467, 336, 742, 900?

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 467, 336, 742, 900.

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}.