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LCM of 900, 292, 804, 992

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


Find the LCM of 900, 292, 804, 992 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, 292, 804, 992. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 900,292,804,992

Given numbers are 900,292,804,992

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

The LCM of 900,292,804,992 is 1091671200.

Find LCM of 900,292,804,992 with Prime Factorization


2 900, 292, 804, 992
2 450, 146, 402, 496
3 225, 73, 201, 248
75, 73, 67, 248

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

2 x 2 x 3 x 75 x 73 x 67 x 248 = 1091671200

Therefore, the lowest common multiple of 900,292,804,992 is 1091671200.

LCM Formula to Find Lowest Common Multiple of 900,292,804,992

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 292 x 804 x 992 = 209600870400

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

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

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,292,804,992, is 4.

Now, the common factors can be found like this.

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

292:2x 2x 73

804:2x 2x 3x 67

992:2x 2x 2x 2x 2x 31

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 209600870400/(4x48)

LCM = 209600870400/192

LCM = 1091671200

Thus, we can understand that the LCM of 900,292,804,992 is 1091671200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 900, 292, 804, 992

1. What is the LCM of 900, 292, 804, 992?

Answer: LCM of 900, 292, 804, 992 is 1091671200.

2. How to calculate the LCM of 900, 292, 804, 992?

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, 292, 804, 992.

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}.