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LCM of 242, 814, 294, 428

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


Find the LCM of 242, 814, 294, 428 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 242, 814, 294, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,814,294,428

Given numbers are 242,814,294,428

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

The LCM of 242,814,294,428 is 281674932.

Find LCM of 242,814,294,428 with Prime Factorization


2 242, 814, 294, 428
11 121, 407, 147, 214
11, 37, 147, 214

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

2 x 11 x 11 x 37 x 147 x 214 = 281674932

Therefore, the lowest common multiple of 242,814,294,428 is 281674932.

LCM Formula to Find Lowest Common Multiple of 242,814,294,428

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.

242 x 814 x 294 x 428 = 24787394016

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.

242 : 1, 2, 11, 22, 121, 242

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

428 : 1, 2, 4, 107, 214, 428

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,814,294,428, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

814:2x 11x 37

294:2x 3x 7x 7

428:2x 2x 107

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 11 = 44

Therefore, the value for common factors is 44.

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 = 24787394016/(2x44)

LCM = 24787394016/88

LCM = 281674932

Thus, we can understand that the LCM of 242,814,294,428 is 281674932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 814, 294, 428

1. What is the LCM of 242, 814, 294, 428?

Answer: LCM of 242, 814, 294, 428 is 281674932.

2. How to calculate the LCM of 242, 814, 294, 428?

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 242, 814, 294, 428.

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}.