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LCM of 134, 471, 566, 874, 152

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


Find the LCM of 134, 471, 566, 874, 152 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, 471, 566, 874, 152. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 134,471,566,874,152

Given numbers are 134,471,566,874,152

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

The LCM of 134,471,566,874,152 is 31221485976.

Find LCM of 134,471,566,874,152 with Prime Factorization


2 134, 471, 566, 874, 152
19 67, 471, 283, 437, 76
67, 471, 283, 23, 4

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

2 x 19 x 67 x 471 x 283 x 23 x 4 = 31221485976

Therefore, the lowest common multiple of 134,471,566,874,152 is 31221485976.

LCM Formula to Find Lowest Common Multiple of 134,471,566,874,152

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 471 x 566 x 874 x 152 = 4745665868352

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

471 : 1, 3, 157, 471

566 : 1, 2, 283, 566

874 : 1, 2, 19, 23, 38, 46, 437, 874

152 : 1, 2, 4, 8, 19, 38, 76, 152

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,471,566,874,152, is 1.

Now, the common factors can be found like this.

134:2x 67

471:3x 157

566:2x 283

874:2x 19x 23

152:2x 2x 2x 19

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 19 = 152

Therefore, the value for common factors is 152.

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 = 4745665868352/(1x152)

LCM = 4745665868352/152

LCM = 31221485976

Thus, we can understand that the LCM of 134,471,566,874,152 is 31221485976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 134, 471, 566, 874, 152

1. What is the LCM of 134, 471, 566, 874, 152?

Answer: LCM of 134, 471, 566, 874, 152 is 31221485976.

2. How to calculate the LCM of 134, 471, 566, 874, 152?

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, 471, 566, 874, 152.

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}.