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LCM of 900, 484, 144, 987, 654

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


Find the LCM of 900, 484, 144, 987, 654 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, 484, 144, 987, 654. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 900,484,144,987,654

Given numbers are 900,484,144,987,654

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

The LCM of 900,484,144,987,654 is 15621051600.

Find LCM of 900,484,144,987,654 with Prime Factorization


2 900, 484, 144, 987, 654
2 450, 242, 72, 987, 327
3 225, 121, 36, 987, 327
3 75, 121, 12, 329, 109
25, 121, 4, 329, 109

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

2 x 2 x 3 x 3 x 25 x 121 x 4 x 329 x 109 = 15621051600

Therefore, the lowest common multiple of 900,484,144,987,654 is 15621051600.

LCM Formula to Find Lowest Common Multiple of 900,484,144,987,654

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 484 x 144 x 987 x 654 = 40489765747200

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

654 : 1, 2, 3, 6, 109, 218, 327, 654

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,484,144,987,654, is 1.

Now, the common factors can be found like this.

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

484:2x 2x 11x 11

144:2x 2x 2x 2x 3x 3

987:3x 7x 47

654:2x 3x 109

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 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 40489765747200/(1x2592)

LCM = 40489765747200/2592

LCM = 15621051600

Thus, we can understand that the LCM of 900,484,144,987,654 is 15621051600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 900, 484, 144, 987, 654

1. What is the LCM of 900, 484, 144, 987, 654?

Answer: LCM of 900, 484, 144, 987, 654 is 15621051600.

2. How to calculate the LCM of 900, 484, 144, 987, 654?

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, 484, 144, 987, 654.

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}.