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 254, 109, 312, 268

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


Find the LCM of 254, 109, 312, 268 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 254, 109, 312, 268. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,109,312,268

Given numbers are 254,109,312,268

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

The LCM of 254,109,312,268 is 289374072.

Find LCM of 254,109,312,268 with Prime Factorization


2 254, 109, 312, 268
2 127, 109, 156, 134
127, 109, 78, 67

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

2 x 2 x 127 x 109 x 78 x 67 = 289374072

Therefore, the lowest common multiple of 254,109,312,268 is 289374072.

LCM Formula to Find Lowest Common Multiple of 254,109,312,268

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.

254 x 109 x 312 x 268 = 2314992576

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.

254 : 1, 2, 127, 254

109 : 1, 109

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,109,312,268, is 1.

Now, the common factors can be found like this.

254:2x 127

109:109

312:2x 2x 2x 3x 13

268:2x 2x 67

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 = 2314992576/(1x8)

LCM = 2314992576/8

LCM = 289374072

Thus, we can understand that the LCM of 254,109,312,268 is 289374072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 254, 109, 312, 268

1. What is the LCM of 254, 109, 312, 268?

Answer: LCM of 254, 109, 312, 268 is 289374072.

2. How to calculate the LCM of 254, 109, 312, 268?

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 254, 109, 312, 268.

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}.