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LCM of 946, 849, 548, 146

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


Find the LCM of 946, 849, 548, 146 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 946, 849, 548, 146. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,849,548,146

Given numbers are 946,849,548,146

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

The LCM of 946,849,548,146 is 16064686308.

Find LCM of 946,849,548,146 with Prime Factorization


2 946, 849, 548, 146
473, 849, 274, 73

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

2 x 473 x 849 x 274 x 73 = 16064686308

Therefore, the lowest common multiple of 946,849,548,146 is 16064686308.

LCM Formula to Find Lowest Common Multiple of 946,849,548,146

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.

946 x 849 x 548 x 146 = 64258745232

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.

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

849 : 1, 3, 283, 849

548 : 1, 2, 4, 137, 274, 548

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,849,548,146, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

849:3x 283

548:2x 2x 137

146:2x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 64258745232/(1x4)

LCM = 64258745232/4

LCM = 16064686308

Thus, we can understand that the LCM of 946,849,548,146 is 16064686308.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 849, 548, 146

1. What is the LCM of 946, 849, 548, 146?

Answer: LCM of 946, 849, 548, 146 is 16064686308.

2. How to calculate the LCM of 946, 849, 548, 146?

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 946, 849, 548, 146.

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}.