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 268, 493, 550, 294

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


Find the LCM of 268, 493, 550, 294 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 268, 493, 550, 294. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 268,493,550,294

Given numbers are 268,493,550,294

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

The LCM of 268,493,550,294 is 5341112700.

Find LCM of 268,493,550,294 with Prime Factorization


2 268, 493, 550, 294
134, 493, 275, 147

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

2 x 134 x 493 x 275 x 147 = 5341112700

Therefore, the lowest common multiple of 268,493,550,294 is 5341112700.

LCM Formula to Find Lowest Common Multiple of 268,493,550,294

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.

268 x 493 x 550 x 294 = 21364450800

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.

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

493 : 1, 17, 29, 493

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,493,550,294, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

493:17x 29

550:2x 5x 5x 11

294:2x 3x 7x 7

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 = 21364450800/(1x4)

LCM = 21364450800/4

LCM = 5341112700

Thus, we can understand that the LCM of 268,493,550,294 is 5341112700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 268, 493, 550, 294

1. What is the LCM of 268, 493, 550, 294?

Answer: LCM of 268, 493, 550, 294 is 5341112700.

2. How to calculate the LCM of 268, 493, 550, 294?

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 268, 493, 550, 294.

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}.