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 158, 438, 146, 914

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


Find the LCM of 158, 438, 146, 914 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 158, 438, 146, 914. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 158,438,146,914

Given numbers are 158,438,146,914

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

The LCM of 158,438,146,914 is 15813114.

Find LCM of 158,438,146,914 with Prime Factorization


2 158, 438, 146, 914
73 79, 219, 73, 457
79, 3, 1, 457

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

2 x 73 x 79 x 3 x 1 x 457 = 15813114

Therefore, the lowest common multiple of 158,438,146,914 is 15813114.

LCM Formula to Find Lowest Common Multiple of 158,438,146,914

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.

158 x 438 x 146 x 914 = 9234858576

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.

158 : 1, 2, 79, 158

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

146 : 1, 2, 73, 146

914 : 1, 2, 457, 914

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,438,146,914, is 2.

Now, the common factors can be found like this.

158:2x 79

438:2x 3x 73

146:2x 73

914:2x 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 73 = 292

Therefore, the value for common factors is 292.

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 = 9234858576/(2x292)

LCM = 9234858576/584

LCM = 15813114

Thus, we can understand that the LCM of 158,438,146,914 is 15813114.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 158, 438, 146, 914

1. What is the LCM of 158, 438, 146, 914?

Answer: LCM of 158, 438, 146, 914 is 15813114.

2. How to calculate the LCM of 158, 438, 146, 914?

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 158, 438, 146, 914.

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}.