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LCM of 278, 302, 227, 293, 112

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


Find the LCM of 278, 302, 227, 293, 112 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 278, 302, 227, 293, 112. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,302,227,293,112

Given numbers are 278,302,227,293,112

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

The LCM of 278,302,227,293,112 is 156351930448.

Find LCM of 278,302,227,293,112 with Prime Factorization


2 278, 302, 227, 293, 112
139, 151, 227, 293, 56

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

2 x 139 x 151 x 227 x 293 x 56 = 156351930448

Therefore, the lowest common multiple of 278,302,227,293,112 is 156351930448.

LCM Formula to Find Lowest Common Multiple of 278,302,227,293,112

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.

278 x 302 x 227 x 293 x 112 = 625407721792

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.

278 : 1, 2, 139, 278

302 : 1, 2, 151, 302

227 : 1, 227

293 : 1, 293

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,302,227,293,112, is 1.

Now, the common factors can be found like this.

278:2x 139

302:2x 151

227:227

293:293

112:2x 2x 2x 2x 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 = 625407721792/(1x4)

LCM = 625407721792/4

LCM = 156351930448

Thus, we can understand that the LCM of 278,302,227,293,112 is 156351930448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 302, 227, 293, 112

1. What is the LCM of 278, 302, 227, 293, 112?

Answer: LCM of 278, 302, 227, 293, 112 is 156351930448.

2. How to calculate the LCM of 278, 302, 227, 293, 112?

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 278, 302, 227, 293, 112.

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}.