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LCM of 906, 364, 906, 152

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


Find the LCM of 906, 364, 906, 152 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, 364, 906, 152. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 906,364,906,152

Given numbers are 906,364,906,152

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

The LCM of 906,364,906,152 is 6265896.

Find LCM of 906,364,906,152 with Prime Factorization


2 906, 364, 906, 152
2 453, 182, 453, 76
3 453, 91, 453, 38
151 151, 91, 151, 38
1, 91, 1, 38

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

2 x 2 x 3 x 151 x 1 x 91 x 1 x 38 = 6265896

Therefore, the lowest common multiple of 906,364,906,152 is 6265896.

LCM Formula to Find Lowest Common Multiple of 906,364,906,152

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 364 x 906 x 152 = 45415214208

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

152 : 1, 2, 4, 8, 19, 38, 76, 152

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,364,906,152, is 2.

Now, the common factors can be found like this.

906:2x 3x 151

364:2x 2x 7x 13

906:2x 3x 151

152:2x 2x 2x 19

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 3x 151 = 3624

Therefore, the value for common factors is 3624.

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 = 45415214208/(2x3624)

LCM = 45415214208/7248

LCM = 6265896

Thus, we can understand that the LCM of 906,364,906,152 is 6265896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 906, 364, 906, 152

1. What is the LCM of 906, 364, 906, 152?

Answer: LCM of 906, 364, 906, 152 is 6265896.

2. How to calculate the LCM of 906, 364, 906, 152?

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, 364, 906, 152.

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}.