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LCM of 906, 480, 726, 746

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


Find the LCM of 906, 480, 726, 746 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 906, 480, 726, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 906,480,726,746

Given numbers are 906,480,726,746

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

The LCM of 906,480,726,746 is 3271239840.

Find LCM of 906,480,726,746 with Prime Factorization


2 906, 480, 726, 746
3 453, 240, 363, 373
151, 80, 121, 373

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

2 x 3 x 151 x 80 x 121 x 373 = 3271239840

Therefore, the lowest common multiple of 906,480,726,746 is 3271239840.

LCM Formula to Find Lowest Common Multiple of 906,480,726,746

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.

906 x 480 x 726 x 746 = 235529268480

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.

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

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

746 : 1, 2, 373, 746

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,480,726,746, is 2.

Now, the common factors can be found like this.

906:2x 3x 151

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

726:2x 3x 11x 11

746:2x 373

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 235529268480/(2x36)

LCM = 235529268480/72

LCM = 3271239840

Thus, we can understand that the LCM of 906,480,726,746 is 3271239840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 906, 480, 726, 746

1. What is the LCM of 906, 480, 726, 746?

Answer: LCM of 906, 480, 726, 746 is 3271239840.

2. How to calculate the LCM of 906, 480, 726, 746?

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 906, 480, 726, 746.

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}.