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LCM of 148, 946, 446, 926, 457

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


Find the LCM of 148, 946, 446, 926, 457 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 148, 946, 446, 926, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 148,946,446,926,457

Given numbers are 148,946,446,926,457

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

The LCM of 148,946,446,926,457 is 3303124249172.

Find LCM of 148,946,446,926,457 with Prime Factorization


2 148, 946, 446, 926, 457
74, 473, 223, 463, 457

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

2 x 74 x 473 x 223 x 463 x 457 = 3303124249172

Therefore, the lowest common multiple of 148,946,446,926,457 is 3303124249172.

LCM Formula to Find Lowest Common Multiple of 148,946,446,926,457

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.

148 x 946 x 446 x 926 x 457 = 26424993993376

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.

148 : 1, 2, 4, 37, 74, 148

946 : 1, 2, 11, 22, 43, 86, 473, 946

446 : 1, 2, 223, 446

926 : 1, 2, 463, 926

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,946,446,926,457, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

946:2x 11x 43

446:2x 223

926:2x 463

457:457

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 2 = 8

Therefore, the value for common factors is 8.

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 = 26424993993376/(1x8)

LCM = 26424993993376/8

LCM = 3303124249172

Thus, we can understand that the LCM of 148,946,446,926,457 is 3303124249172.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 148, 946, 446, 926, 457

1. What is the LCM of 148, 946, 446, 926, 457?

Answer: LCM of 148, 946, 446, 926, 457 is 3303124249172.

2. How to calculate the LCM of 148, 946, 446, 926, 457?

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 148, 946, 446, 926, 457.

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}.