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LCM of 134, 598, 277, 156, 262

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


Find the LCM of 134, 598, 277, 156, 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 134, 598, 277, 156, 262. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 134,598,277,156,262

Given numbers are 134,598,277,156,262

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

The LCM of 134,598,277,156,262 is 8723249652.

Find LCM of 134,598,277,156,262 with Prime Factorization


2 134, 598, 277, 156, 262
13 67, 299, 277, 78, 131
67, 23, 277, 6, 131

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

2 x 13 x 67 x 23 x 277 x 6 x 131 = 8723249652

Therefore, the lowest common multiple of 134,598,277,156,262 is 8723249652.

LCM Formula to Find Lowest Common Multiple of 134,598,277,156,262

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.

134 x 598 x 277 x 156 x 262 = 907217963808

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.

134 : 1, 2, 67, 134

598 : 1, 2, 13, 23, 26, 46, 299, 598

277 : 1, 277

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,598,277,156,262, is 1.

Now, the common factors can be found like this.

134:2x 67

598:2x 13x 23

277:277

156:2x 2x 3x 13

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.

2x 2x 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 907217963808/(1x104)

LCM = 907217963808/104

LCM = 8723249652

Thus, we can understand that the LCM of 134,598,277,156,262 is 8723249652.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 134, 598, 277, 156, 262

1. What is the LCM of 134, 598, 277, 156, 262?

Answer: LCM of 134, 598, 277, 156, 262 is 8723249652.

2. How to calculate the LCM of 134, 598, 277, 156, 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 134, 598, 277, 156, 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}.