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LCM of 314, 781, 745, 262

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


Find the LCM of 314, 781, 745, 262 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 314, 781, 745, 262. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,781,745,262

Given numbers are 314,781,745,262

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

The LCM of 314,781,745,262 is 23933612230.

Find LCM of 314,781,745,262 with Prime Factorization


2 314, 781, 745, 262
157, 781, 745, 131

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

2 x 157 x 781 x 745 x 131 = 23933612230

Therefore, the lowest common multiple of 314,781,745,262 is 23933612230.

LCM Formula to Find Lowest Common Multiple of 314,781,745,262

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.

314 x 781 x 745 x 262 = 47867224460

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.

314 : 1, 2, 157, 314

781 : 1, 11, 71, 781

745 : 1, 5, 149, 745

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,781,745,262, is 1.

Now, the common factors can be found like this.

314:2x 157

781:11x 71

745:5x 149

262:2x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 47867224460/(1x2)

LCM = 47867224460/2

LCM = 23933612230

Thus, we can understand that the LCM of 314,781,745,262 is 23933612230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 781, 745, 262

1. What is the LCM of 314, 781, 745, 262?

Answer: LCM of 314, 781, 745, 262 is 23933612230.

2. How to calculate the LCM of 314, 781, 745, 262?

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 314, 781, 745, 262.

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}.