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LCM of 900, 993, 282, 783, 774

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


Find the LCM of 900, 993, 282, 783, 774 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 900, 993, 282, 783, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 900,993,282,783,774

Given numbers are 900,993,282,783,774

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

The LCM of 900,993,282,783,774 is 52378863300.

Find LCM of 900,993,282,783,774 with Prime Factorization


2 900, 993, 282, 783, 774
3 450, 993, 141, 783, 387
3 150, 331, 47, 261, 129
50, 331, 47, 87, 43

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

2 x 3 x 3 x 50 x 331 x 47 x 87 x 43 = 52378863300

Therefore, the lowest common multiple of 900,993,282,783,774 is 52378863300.

LCM Formula to Find Lowest Common Multiple of 900,993,282,783,774

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.

900 x 993 x 282 x 783 x 774 = 152736765382800

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.

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

993 : 1, 3, 331, 993

282 : 1, 2, 3, 6, 47, 94, 141, 282

783 : 1, 3, 9, 27, 29, 87, 261, 783

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,993,282,783,774, is 3.

Now, the common factors can be found like this.

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

993:3x 331

282:2x 3x 47

783:3x 3x 3x 29

774:2x 3x 3x 43

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 3x 3x 3x 3x 3 = 972

Therefore, the value for common factors is 972.

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 = 152736765382800/(3x972)

LCM = 152736765382800/2916

LCM = 52378863300

Thus, we can understand that the LCM of 900,993,282,783,774 is 52378863300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 900, 993, 282, 783, 774

1. What is the LCM of 900, 993, 282, 783, 774?

Answer: LCM of 900, 993, 282, 783, 774 is 52378863300.

2. How to calculate the LCM of 900, 993, 282, 783, 774?

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 900, 993, 282, 783, 774.

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}.