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LCM of 460, 814, 972, 945, 840

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


Find the LCM of 460, 814, 972, 945, 840 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 460, 814, 972, 945, 840. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 460,814,972,945,840

Given numbers are 460,814,972,945,840

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

The LCM of 460,814,972,945,840 is 636922440.

Find LCM of 460,814,972,945,840 with Prime Factorization


2 460, 814, 972, 945, 840
2 230, 407, 486, 945, 420
3 115, 407, 243, 945, 210
3 115, 407, 81, 315, 70
3 115, 407, 27, 105, 70
5 115, 407, 9, 35, 70
7 23, 407, 9, 7, 14
23, 407, 9, 1, 2

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

2 x 2 x 3 x 3 x 3 x 5 x 7 x 23 x 407 x 9 x 1 x 2 = 636922440

Therefore, the lowest common multiple of 460,814,972,945,840 is 636922440.

LCM Formula to Find Lowest Common Multiple of 460,814,972,945,840

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.

460 x 814 x 972 x 945 x 840 = 288908018784000

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

814 : 1, 2, 11, 22, 37, 74, 407, 814

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,814,972,945,840, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

814:2x 11x 37

972:2x 2x 3x 3x 3x 3x 3

945:3x 3x 3x 5x 7

840:2x 2x 2x 3x 5x 7

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 3x 5x 5x 7 = 453600

Therefore, the value for common factors is 453600.

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 = 288908018784000/(1x453600)

LCM = 288908018784000/453600

LCM = 636922440

Thus, we can understand that the LCM of 460,814,972,945,840 is 636922440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 460, 814, 972, 945, 840

1. What is the LCM of 460, 814, 972, 945, 840?

Answer: LCM of 460, 814, 972, 945, 840 is 636922440.

2. How to calculate the LCM of 460, 814, 972, 945, 840?

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 460, 814, 972, 945, 840.

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}.