LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 146, 438, 464, 772

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


Find the LCM of 146, 438, 464, 772 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 146, 438, 464, 772. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 146,438,464,772

Given numbers are 146,438,464,772

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

The LCM of 146,438,464,772 is 19611888.

Find LCM of 146,438,464,772 with Prime Factorization


2 146, 438, 464, 772
2 73, 219, 232, 386
73 73, 219, 116, 193
1, 3, 116, 193

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

2 x 2 x 73 x 1 x 3 x 116 x 193 = 19611888

Therefore, the lowest common multiple of 146,438,464,772 is 19611888.

LCM Formula to Find Lowest Common Multiple of 146,438,464,772

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.

146 x 438 x 464 x 772 = 22906685184

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.

146 : 1, 2, 73, 146

438 : 1, 2, 3, 6, 73, 146, 219, 438

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

772 : 1, 2, 4, 193, 386, 772

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,438,464,772, is 2.

Now, the common factors can be found like this.

146:2x 73

438:2x 3x 73

464:2x 2x 2x 2x 29

772:2x 2x 193

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 73 = 584

Therefore, the value for common factors is 584.

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 = 22906685184/(2x584)

LCM = 22906685184/1168

LCM = 19611888

Thus, we can understand that the LCM of 146,438,464,772 is 19611888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 146, 438, 464, 772

1. What is the LCM of 146, 438, 464, 772?

Answer: LCM of 146, 438, 464, 772 is 19611888.

2. How to calculate the LCM of 146, 438, 464, 772?

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 146, 438, 464, 772.

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}.