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LCM of 101, 715, 536, 394, 534

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


Find the LCM of 101, 715, 536, 394, 534 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 101, 715, 536, 394, 534. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 101,715,536,394,534

Given numbers are 101,715,536,394,534

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

The LCM of 101,715,536,394,534 is 2035962116760.

Find LCM of 101,715,536,394,534 with Prime Factorization


2 101, 715, 536, 394, 534
101, 715, 268, 197, 267

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

2 x 101 x 715 x 268 x 197 x 267 = 2035962116760

Therefore, the lowest common multiple of 101,715,536,394,534 is 2035962116760.

LCM Formula to Find Lowest Common Multiple of 101,715,536,394,534

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.

101 x 715 x 536 x 394 x 534 = 8143848467040

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.

101 : 1, 101

715 : 1, 5, 11, 13, 55, 65, 143, 715

536 : 1, 2, 4, 8, 67, 134, 268, 536

394 : 1, 2, 197, 394

534 : 1, 2, 3, 6, 89, 178, 267, 534

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,715,536,394,534, is 1.

Now, the common factors can be found like this.

101:101

715:5x 11x 13

536:2x 2x 2x 67

394:2x 197

534:2x 3x 89

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 = 8143848467040/(1x4)

LCM = 8143848467040/4

LCM = 2035962116760

Thus, we can understand that the LCM of 101,715,536,394,534 is 2035962116760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 101, 715, 536, 394, 534

1. What is the LCM of 101, 715, 536, 394, 534?

Answer: LCM of 101, 715, 536, 394, 534 is 2035962116760.

2. How to calculate the LCM of 101, 715, 536, 394, 534?

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 101, 715, 536, 394, 534.

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}.