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LCM of 974, 945, 459, 808, 144

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


Find the LCM of 974, 945, 459, 808, 144 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 974, 945, 459, 808, 144. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 974,945,459,808,144

Given numbers are 974,945,459,808,144

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

The LCM of 974,945,459,808,144 is 12643026480.

Find LCM of 974,945,459,808,144 with Prime Factorization


2 974, 945, 459, 808, 144
2 487, 945, 459, 404, 72
2 487, 945, 459, 202, 36
3 487, 945, 459, 101, 18
3 487, 315, 153, 101, 6
3 487, 105, 51, 101, 2
487, 35, 17, 101, 2

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

2 x 2 x 2 x 3 x 3 x 3 x 487 x 35 x 17 x 101 x 2 = 12643026480

Therefore, the lowest common multiple of 974,945,459,808,144 is 12643026480.

LCM Formula to Find Lowest Common Multiple of 974,945,459,808,144

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.

974 x 945 x 459 x 808 x 144 = 49156086954240

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.

974 : 1, 2, 487, 974

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

459 : 1, 3, 9, 17, 27, 51, 153, 459

808 : 1, 2, 4, 8, 101, 202, 404, 808

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,945,459,808,144, is 1.

Now, the common factors can be found like this.

974:2x 487

945:3x 3x 3x 5x 7

459:3x 3x 3x 17

808:2x 2x 2x 101

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

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 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 49156086954240/(1x3888)

LCM = 49156086954240/3888

LCM = 12643026480

Thus, we can understand that the LCM of 974,945,459,808,144 is 12643026480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 974, 945, 459, 808, 144

1. What is the LCM of 974, 945, 459, 808, 144?

Answer: LCM of 974, 945, 459, 808, 144 is 12643026480.

2. How to calculate the LCM of 974, 945, 459, 808, 144?

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 974, 945, 459, 808, 144.

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}.