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LCM of 975, 480, 728, 906

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


Find the LCM of 975, 480, 728, 906 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 975, 480, 728, 906. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 975,480,728,906

Given numbers are 975,480,728,906

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

The LCM of 975,480,728,906 is 32978400.

Find LCM of 975,480,728,906 with Prime Factorization


2 975, 480, 728, 906
2 975, 240, 364, 453
2 975, 120, 182, 453
3 975, 60, 91, 453
5 325, 20, 91, 151
13 65, 4, 91, 151
5, 4, 7, 151

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

2 x 2 x 2 x 3 x 5 x 13 x 5 x 4 x 7 x 151 = 32978400

Therefore, the lowest common multiple of 975,480,728,906 is 32978400.

LCM Formula to Find Lowest Common Multiple of 975,480,728,906

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.

975 x 480 x 728 x 906 = 308677824000

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.

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

906 : 1, 2, 3, 6, 151, 302, 453, 906

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,480,728,906, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

480:2x 2x 2x 2x 2x 3x 5

728:2x 2x 2x 7x 13

906:2x 3x 151

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 5x 13 = 9360

Therefore, the value for common factors is 9360.

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 = 308677824000/(1x9360)

LCM = 308677824000/9360

LCM = 32978400

Thus, we can understand that the LCM of 975,480,728,906 is 32978400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 975, 480, 728, 906

1. What is the LCM of 975, 480, 728, 906?

Answer: LCM of 975, 480, 728, 906 is 32978400.

2. How to calculate the LCM of 975, 480, 728, 906?

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 975, 480, 728, 906.

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}.